If Earth is tilted, why is Polaris always above the same spot?Why does the Moon stablize Earth's axis?Why does this graph for sunlight intensity on land has a steeper slope during sunrise as compared to sunset?Where exactly does the Moon flip, given that it appears the other way up in the other hemisphere?How can one explain the apparent motion of the Sun from a heliocentric point of view?Is the Earth Really Spinning? (honest question)Which constellation would appear to revolve around Denab,Vega or Thuban when axis of the earth would point toward them?Altitude of Midnight Satellite?Does Polaris have a trail in the sky timelapse?What is the highest angle the moon ever makes above the horizon at the North Pole?Did the Moon ever approximate a geosynchronous orbit above the early Earth?Why is the equinoxes only 2 days and not more?

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If Earth is tilted, why is Polaris always above the same spot?


Why does the Moon stablize Earth's axis?Why does this graph for sunlight intensity on land has a steeper slope during sunrise as compared to sunset?Where exactly does the Moon flip, given that it appears the other way up in the other hemisphere?How can one explain the apparent motion of the Sun from a heliocentric point of view?Is the Earth Really Spinning? (honest question)Which constellation would appear to revolve around Denab,Vega or Thuban when axis of the earth would point toward them?Altitude of Midnight Satellite?Does Polaris have a trail in the sky timelapse?What is the highest angle the moon ever makes above the horizon at the North Pole?Did the Moon ever approximate a geosynchronous orbit above the early Earth?Why is the equinoxes only 2 days and not more?






.everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty
margin-bottom:0;

.everyonelovesstackoverflowposition:absolute;height:1px;width:1px;opacity:0;top:0;left:0;pointer-events:none;








46














$begingroup$


Why is Polaris, the North Star, always above (or near) the North Pole? If Earth is tilted, Polaris' path should be in winter 23 degrees away from its path in summer, or not?










share|improve this question











$endgroup$















  • $begingroup$
    Don't forget distance. Is the only point of difference as compared to the situation involving sun.
    $endgroup$
    – Alchimista
    Apr 29 at 7:34










  • $begingroup$
    I hope this doesn't confuse the issue, but it should be noted that Polaris isn't precisely in the same location, even over the course of a day. As wikipedia explains: "In 2018 Polaris is 0.66° away from the pole of rotation ... and so revolves around the pole in a small circle 1.3° in diameter." But we can imagine a "true" pole star that would be precisely still, in which case the question stands.
    $endgroup$
    – Mike
    May 1 at 19:26










  • $begingroup$
    Remember, the seasons are different in each hemisphere (they are caused by the hemisphere being faced more towards or away from the sun at different times during the orbit).
    $endgroup$
    – benjimin
    May 3 at 3:51

















46














$begingroup$


Why is Polaris, the North Star, always above (or near) the North Pole? If Earth is tilted, Polaris' path should be in winter 23 degrees away from its path in summer, or not?










share|improve this question











$endgroup$















  • $begingroup$
    Don't forget distance. Is the only point of difference as compared to the situation involving sun.
    $endgroup$
    – Alchimista
    Apr 29 at 7:34










  • $begingroup$
    I hope this doesn't confuse the issue, but it should be noted that Polaris isn't precisely in the same location, even over the course of a day. As wikipedia explains: "In 2018 Polaris is 0.66° away from the pole of rotation ... and so revolves around the pole in a small circle 1.3° in diameter." But we can imagine a "true" pole star that would be precisely still, in which case the question stands.
    $endgroup$
    – Mike
    May 1 at 19:26










  • $begingroup$
    Remember, the seasons are different in each hemisphere (they are caused by the hemisphere being faced more towards or away from the sun at different times during the orbit).
    $endgroup$
    – benjimin
    May 3 at 3:51













46












46








46


5



$begingroup$


Why is Polaris, the North Star, always above (or near) the North Pole? If Earth is tilted, Polaris' path should be in winter 23 degrees away from its path in summer, or not?










share|improve this question











$endgroup$




Why is Polaris, the North Star, always above (or near) the North Pole? If Earth is tilted, Polaris' path should be in winter 23 degrees away from its path in summer, or not?







observational-astronomy earth amateur-observing fundamental-astronomy






share|improve this question















share|improve this question













share|improve this question




share|improve this question



share|improve this question








edited Apr 28 at 17:03







Guest55

















asked Apr 28 at 16:46









Guest55Guest55

2361 gold badge2 silver badges5 bronze badges




2361 gold badge2 silver badges5 bronze badges














  • $begingroup$
    Don't forget distance. Is the only point of difference as compared to the situation involving sun.
    $endgroup$
    – Alchimista
    Apr 29 at 7:34










  • $begingroup$
    I hope this doesn't confuse the issue, but it should be noted that Polaris isn't precisely in the same location, even over the course of a day. As wikipedia explains: "In 2018 Polaris is 0.66° away from the pole of rotation ... and so revolves around the pole in a small circle 1.3° in diameter." But we can imagine a "true" pole star that would be precisely still, in which case the question stands.
    $endgroup$
    – Mike
    May 1 at 19:26










  • $begingroup$
    Remember, the seasons are different in each hemisphere (they are caused by the hemisphere being faced more towards or away from the sun at different times during the orbit).
    $endgroup$
    – benjimin
    May 3 at 3:51
















  • $begingroup$
    Don't forget distance. Is the only point of difference as compared to the situation involving sun.
    $endgroup$
    – Alchimista
    Apr 29 at 7:34










  • $begingroup$
    I hope this doesn't confuse the issue, but it should be noted that Polaris isn't precisely in the same location, even over the course of a day. As wikipedia explains: "In 2018 Polaris is 0.66° away from the pole of rotation ... and so revolves around the pole in a small circle 1.3° in diameter." But we can imagine a "true" pole star that would be precisely still, in which case the question stands.
    $endgroup$
    – Mike
    May 1 at 19:26










  • $begingroup$
    Remember, the seasons are different in each hemisphere (they are caused by the hemisphere being faced more towards or away from the sun at different times during the orbit).
    $endgroup$
    – benjimin
    May 3 at 3:51















$begingroup$
Don't forget distance. Is the only point of difference as compared to the situation involving sun.
$endgroup$
– Alchimista
Apr 29 at 7:34




$begingroup$
Don't forget distance. Is the only point of difference as compared to the situation involving sun.
$endgroup$
– Alchimista
Apr 29 at 7:34












$begingroup$
I hope this doesn't confuse the issue, but it should be noted that Polaris isn't precisely in the same location, even over the course of a day. As wikipedia explains: "In 2018 Polaris is 0.66° away from the pole of rotation ... and so revolves around the pole in a small circle 1.3° in diameter." But we can imagine a "true" pole star that would be precisely still, in which case the question stands.
$endgroup$
– Mike
May 1 at 19:26




$begingroup$
I hope this doesn't confuse the issue, but it should be noted that Polaris isn't precisely in the same location, even over the course of a day. As wikipedia explains: "In 2018 Polaris is 0.66° away from the pole of rotation ... and so revolves around the pole in a small circle 1.3° in diameter." But we can imagine a "true" pole star that would be precisely still, in which case the question stands.
$endgroup$
– Mike
May 1 at 19:26












$begingroup$
Remember, the seasons are different in each hemisphere (they are caused by the hemisphere being faced more towards or away from the sun at different times during the orbit).
$endgroup$
– benjimin
May 3 at 3:51




$begingroup$
Remember, the seasons are different in each hemisphere (they are caused by the hemisphere being faced more towards or away from the sun at different times during the orbit).
$endgroup$
– benjimin
May 3 at 3:51










3 Answers
3






active

oldest

votes


















104
















$begingroup$

You are correct that the axis of the Earth's rotation is tilted with respect to the plane of its orbit by 23 degrees. But it is incorrect that the direction that the axis points changes by a large amount (it should be 2*23 degrees) over a 6 month time span.



Incorrect orientation of axis



Your assumption: If axis it pointed at Polaris at (1), then it should be pointed at a different star at (2).



The axis remains pointed in the same direction throughout the entire year because the laws of physics are that the axis of a spinning object remains pointed in the same direction unless a torque acts on the body to change its orientation. There are torques acting on the Earth (namely the Sun and Moon), but it takes 13000 years to change the direction from "one way to the opposite way", not 6 months.



Correct orientation of axis



Correct: The orientation of the Earth's spin axis remains pointed at the same star throughout the year (ignoring the slow, 26000 year precession cycle).






share|improve this answer












$endgroup$










  • 2




    $begingroup$
    Thank you so much! Now I understand why the stars are seen on the same paths.
    $endgroup$
    – Guest55
    Apr 28 at 17:49






  • 40




    $begingroup$
    And also to note that if the axis changed in only 6 months, we would be perpetually stuck in the same seasons.
    $endgroup$
    – Michael
    Apr 29 at 6:19






  • 5




    $begingroup$
    For further reading on the "ignoring" bit: over thousands of years the pole star does change; see axial precession.
    $endgroup$
    – gerrit
    Apr 29 at 8:06










  • $begingroup$
    @gerrit interesting article on The Long Now about axial precession and the calendar installation at the Hoover Dam: blog.longnow.org/02019/01/29/…
    $endgroup$
    – rbrtl
    Apr 29 at 13:50






  • 12




    $begingroup$
    Give my regards to your graphic designer. Top notch work there.
    $endgroup$
    – corsiKa
    Apr 29 at 15:54


















5
















$begingroup$

You may hear about something called the celestial sphere. While we now know the Earth is rotating on its axis, to ancient people it appeared as though the stars were rotating around us (and they are according to our own frame of reference). This rotating globe of stars can itself be mapped on a globe in the same fashion that we can map the Earth's land and water.



enter image description here



There are a few reasons why Polaris is always seen in the same position on this celestial sphere.



  1. As the globe of the Earth and the celestial sphere rotate relative to each other, they share an axis. This center of rotation does not move.

  2. While some planets (like Mars) rotate on an axis that is itself wobbling relative to the ecliptic, Earth has a stable axis thanks to our large moon. This axis always points in the same direction and so it's always aligned with the same stars in our galaxy.

  3. The stars in our galaxy are orbiting the galactic center very slowly from our perspective, so human civilization would not have observed any significant change in the stars' positions across its lifetime.

  4. During the Earth's orbit around the Sun, its own change in position is so slight relative to the galactic scale that no significant stellar parallax can be expected.





share|improve this answer












$endgroup$






















    4
















    $begingroup$

    Kick (or toss) an AFL/rugby football (a prolate spheroid) so that it spins rapidly (around its long axis) at the same as it traverses an arc (falling under gravity). You should be able to observe that the spin axis is parallel transported (at least if the perturbation by air resistance is weak enough to neglect).



    The earth is spinning. To change the direction it spins in (with respect to the inertial frame of distant stars) it would be necessary to apply some torque to the earth. A sun's gravity does not apply any torque to a spherical planet (due to the symmetries of the Newtonian forces applied).



    Since the earth is not quite a perfect sphere (e.g. is slightly oblate) there is a small torque applied by the sun's gravitational field gradient, so over millennia the planet's north axis gradually precesses to point toward different constellations.






    share|improve this answer










    $endgroup$
















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      3 Answers
      3






      active

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      3 Answers
      3






      active

      oldest

      votes









      active

      oldest

      votes






      active

      oldest

      votes









      104
















      $begingroup$

      You are correct that the axis of the Earth's rotation is tilted with respect to the plane of its orbit by 23 degrees. But it is incorrect that the direction that the axis points changes by a large amount (it should be 2*23 degrees) over a 6 month time span.



      Incorrect orientation of axis



      Your assumption: If axis it pointed at Polaris at (1), then it should be pointed at a different star at (2).



      The axis remains pointed in the same direction throughout the entire year because the laws of physics are that the axis of a spinning object remains pointed in the same direction unless a torque acts on the body to change its orientation. There are torques acting on the Earth (namely the Sun and Moon), but it takes 13000 years to change the direction from "one way to the opposite way", not 6 months.



      Correct orientation of axis



      Correct: The orientation of the Earth's spin axis remains pointed at the same star throughout the year (ignoring the slow, 26000 year precession cycle).






      share|improve this answer












      $endgroup$










      • 2




        $begingroup$
        Thank you so much! Now I understand why the stars are seen on the same paths.
        $endgroup$
        – Guest55
        Apr 28 at 17:49






      • 40




        $begingroup$
        And also to note that if the axis changed in only 6 months, we would be perpetually stuck in the same seasons.
        $endgroup$
        – Michael
        Apr 29 at 6:19






      • 5




        $begingroup$
        For further reading on the "ignoring" bit: over thousands of years the pole star does change; see axial precession.
        $endgroup$
        – gerrit
        Apr 29 at 8:06










      • $begingroup$
        @gerrit interesting article on The Long Now about axial precession and the calendar installation at the Hoover Dam: blog.longnow.org/02019/01/29/…
        $endgroup$
        – rbrtl
        Apr 29 at 13:50






      • 12




        $begingroup$
        Give my regards to your graphic designer. Top notch work there.
        $endgroup$
        – corsiKa
        Apr 29 at 15:54















      104
















      $begingroup$

      You are correct that the axis of the Earth's rotation is tilted with respect to the plane of its orbit by 23 degrees. But it is incorrect that the direction that the axis points changes by a large amount (it should be 2*23 degrees) over a 6 month time span.



      Incorrect orientation of axis



      Your assumption: If axis it pointed at Polaris at (1), then it should be pointed at a different star at (2).



      The axis remains pointed in the same direction throughout the entire year because the laws of physics are that the axis of a spinning object remains pointed in the same direction unless a torque acts on the body to change its orientation. There are torques acting on the Earth (namely the Sun and Moon), but it takes 13000 years to change the direction from "one way to the opposite way", not 6 months.



      Correct orientation of axis



      Correct: The orientation of the Earth's spin axis remains pointed at the same star throughout the year (ignoring the slow, 26000 year precession cycle).






      share|improve this answer












      $endgroup$










      • 2




        $begingroup$
        Thank you so much! Now I understand why the stars are seen on the same paths.
        $endgroup$
        – Guest55
        Apr 28 at 17:49






      • 40




        $begingroup$
        And also to note that if the axis changed in only 6 months, we would be perpetually stuck in the same seasons.
        $endgroup$
        – Michael
        Apr 29 at 6:19






      • 5




        $begingroup$
        For further reading on the "ignoring" bit: over thousands of years the pole star does change; see axial precession.
        $endgroup$
        – gerrit
        Apr 29 at 8:06










      • $begingroup$
        @gerrit interesting article on The Long Now about axial precession and the calendar installation at the Hoover Dam: blog.longnow.org/02019/01/29/…
        $endgroup$
        – rbrtl
        Apr 29 at 13:50






      • 12




        $begingroup$
        Give my regards to your graphic designer. Top notch work there.
        $endgroup$
        – corsiKa
        Apr 29 at 15:54













      104














      104










      104







      $begingroup$

      You are correct that the axis of the Earth's rotation is tilted with respect to the plane of its orbit by 23 degrees. But it is incorrect that the direction that the axis points changes by a large amount (it should be 2*23 degrees) over a 6 month time span.



      Incorrect orientation of axis



      Your assumption: If axis it pointed at Polaris at (1), then it should be pointed at a different star at (2).



      The axis remains pointed in the same direction throughout the entire year because the laws of physics are that the axis of a spinning object remains pointed in the same direction unless a torque acts on the body to change its orientation. There are torques acting on the Earth (namely the Sun and Moon), but it takes 13000 years to change the direction from "one way to the opposite way", not 6 months.



      Correct orientation of axis



      Correct: The orientation of the Earth's spin axis remains pointed at the same star throughout the year (ignoring the slow, 26000 year precession cycle).






      share|improve this answer












      $endgroup$



      You are correct that the axis of the Earth's rotation is tilted with respect to the plane of its orbit by 23 degrees. But it is incorrect that the direction that the axis points changes by a large amount (it should be 2*23 degrees) over a 6 month time span.



      Incorrect orientation of axis



      Your assumption: If axis it pointed at Polaris at (1), then it should be pointed at a different star at (2).



      The axis remains pointed in the same direction throughout the entire year because the laws of physics are that the axis of a spinning object remains pointed in the same direction unless a torque acts on the body to change its orientation. There are torques acting on the Earth (namely the Sun and Moon), but it takes 13000 years to change the direction from "one way to the opposite way", not 6 months.



      Correct orientation of axis



      Correct: The orientation of the Earth's spin axis remains pointed at the same star throughout the year (ignoring the slow, 26000 year precession cycle).







      share|improve this answer















      share|improve this answer




      share|improve this answer



      share|improve this answer








      edited May 1 at 0:51

























      answered Apr 28 at 17:46









      JohnHoltzJohnHoltz

      3,9412 gold badges11 silver badges15 bronze badges




      3,9412 gold badges11 silver badges15 bronze badges










      • 2




        $begingroup$
        Thank you so much! Now I understand why the stars are seen on the same paths.
        $endgroup$
        – Guest55
        Apr 28 at 17:49






      • 40




        $begingroup$
        And also to note that if the axis changed in only 6 months, we would be perpetually stuck in the same seasons.
        $endgroup$
        – Michael
        Apr 29 at 6:19






      • 5




        $begingroup$
        For further reading on the "ignoring" bit: over thousands of years the pole star does change; see axial precession.
        $endgroup$
        – gerrit
        Apr 29 at 8:06










      • $begingroup$
        @gerrit interesting article on The Long Now about axial precession and the calendar installation at the Hoover Dam: blog.longnow.org/02019/01/29/…
        $endgroup$
        – rbrtl
        Apr 29 at 13:50






      • 12




        $begingroup$
        Give my regards to your graphic designer. Top notch work there.
        $endgroup$
        – corsiKa
        Apr 29 at 15:54












      • 2




        $begingroup$
        Thank you so much! Now I understand why the stars are seen on the same paths.
        $endgroup$
        – Guest55
        Apr 28 at 17:49






      • 40




        $begingroup$
        And also to note that if the axis changed in only 6 months, we would be perpetually stuck in the same seasons.
        $endgroup$
        – Michael
        Apr 29 at 6:19






      • 5




        $begingroup$
        For further reading on the "ignoring" bit: over thousands of years the pole star does change; see axial precession.
        $endgroup$
        – gerrit
        Apr 29 at 8:06










      • $begingroup$
        @gerrit interesting article on The Long Now about axial precession and the calendar installation at the Hoover Dam: blog.longnow.org/02019/01/29/…
        $endgroup$
        – rbrtl
        Apr 29 at 13:50






      • 12




        $begingroup$
        Give my regards to your graphic designer. Top notch work there.
        $endgroup$
        – corsiKa
        Apr 29 at 15:54







      2




      2




      $begingroup$
      Thank you so much! Now I understand why the stars are seen on the same paths.
      $endgroup$
      – Guest55
      Apr 28 at 17:49




      $begingroup$
      Thank you so much! Now I understand why the stars are seen on the same paths.
      $endgroup$
      – Guest55
      Apr 28 at 17:49




      40




      40




      $begingroup$
      And also to note that if the axis changed in only 6 months, we would be perpetually stuck in the same seasons.
      $endgroup$
      – Michael
      Apr 29 at 6:19




      $begingroup$
      And also to note that if the axis changed in only 6 months, we would be perpetually stuck in the same seasons.
      $endgroup$
      – Michael
      Apr 29 at 6:19




      5




      5




      $begingroup$
      For further reading on the "ignoring" bit: over thousands of years the pole star does change; see axial precession.
      $endgroup$
      – gerrit
      Apr 29 at 8:06




      $begingroup$
      For further reading on the "ignoring" bit: over thousands of years the pole star does change; see axial precession.
      $endgroup$
      – gerrit
      Apr 29 at 8:06












      $begingroup$
      @gerrit interesting article on The Long Now about axial precession and the calendar installation at the Hoover Dam: blog.longnow.org/02019/01/29/…
      $endgroup$
      – rbrtl
      Apr 29 at 13:50




      $begingroup$
      @gerrit interesting article on The Long Now about axial precession and the calendar installation at the Hoover Dam: blog.longnow.org/02019/01/29/…
      $endgroup$
      – rbrtl
      Apr 29 at 13:50




      12




      12




      $begingroup$
      Give my regards to your graphic designer. Top notch work there.
      $endgroup$
      – corsiKa
      Apr 29 at 15:54




      $begingroup$
      Give my regards to your graphic designer. Top notch work there.
      $endgroup$
      – corsiKa
      Apr 29 at 15:54













      5
















      $begingroup$

      You may hear about something called the celestial sphere. While we now know the Earth is rotating on its axis, to ancient people it appeared as though the stars were rotating around us (and they are according to our own frame of reference). This rotating globe of stars can itself be mapped on a globe in the same fashion that we can map the Earth's land and water.



      enter image description here



      There are a few reasons why Polaris is always seen in the same position on this celestial sphere.



      1. As the globe of the Earth and the celestial sphere rotate relative to each other, they share an axis. This center of rotation does not move.

      2. While some planets (like Mars) rotate on an axis that is itself wobbling relative to the ecliptic, Earth has a stable axis thanks to our large moon. This axis always points in the same direction and so it's always aligned with the same stars in our galaxy.

      3. The stars in our galaxy are orbiting the galactic center very slowly from our perspective, so human civilization would not have observed any significant change in the stars' positions across its lifetime.

      4. During the Earth's orbit around the Sun, its own change in position is so slight relative to the galactic scale that no significant stellar parallax can be expected.





      share|improve this answer












      $endgroup$



















        5
















        $begingroup$

        You may hear about something called the celestial sphere. While we now know the Earth is rotating on its axis, to ancient people it appeared as though the stars were rotating around us (and they are according to our own frame of reference). This rotating globe of stars can itself be mapped on a globe in the same fashion that we can map the Earth's land and water.



        enter image description here



        There are a few reasons why Polaris is always seen in the same position on this celestial sphere.



        1. As the globe of the Earth and the celestial sphere rotate relative to each other, they share an axis. This center of rotation does not move.

        2. While some planets (like Mars) rotate on an axis that is itself wobbling relative to the ecliptic, Earth has a stable axis thanks to our large moon. This axis always points in the same direction and so it's always aligned with the same stars in our galaxy.

        3. The stars in our galaxy are orbiting the galactic center very slowly from our perspective, so human civilization would not have observed any significant change in the stars' positions across its lifetime.

        4. During the Earth's orbit around the Sun, its own change in position is so slight relative to the galactic scale that no significant stellar parallax can be expected.





        share|improve this answer












        $endgroup$

















          5














          5










          5







          $begingroup$

          You may hear about something called the celestial sphere. While we now know the Earth is rotating on its axis, to ancient people it appeared as though the stars were rotating around us (and they are according to our own frame of reference). This rotating globe of stars can itself be mapped on a globe in the same fashion that we can map the Earth's land and water.



          enter image description here



          There are a few reasons why Polaris is always seen in the same position on this celestial sphere.



          1. As the globe of the Earth and the celestial sphere rotate relative to each other, they share an axis. This center of rotation does not move.

          2. While some planets (like Mars) rotate on an axis that is itself wobbling relative to the ecliptic, Earth has a stable axis thanks to our large moon. This axis always points in the same direction and so it's always aligned with the same stars in our galaxy.

          3. The stars in our galaxy are orbiting the galactic center very slowly from our perspective, so human civilization would not have observed any significant change in the stars' positions across its lifetime.

          4. During the Earth's orbit around the Sun, its own change in position is so slight relative to the galactic scale that no significant stellar parallax can be expected.





          share|improve this answer












          $endgroup$



          You may hear about something called the celestial sphere. While we now know the Earth is rotating on its axis, to ancient people it appeared as though the stars were rotating around us (and they are according to our own frame of reference). This rotating globe of stars can itself be mapped on a globe in the same fashion that we can map the Earth's land and water.



          enter image description here



          There are a few reasons why Polaris is always seen in the same position on this celestial sphere.



          1. As the globe of the Earth and the celestial sphere rotate relative to each other, they share an axis. This center of rotation does not move.

          2. While some planets (like Mars) rotate on an axis that is itself wobbling relative to the ecliptic, Earth has a stable axis thanks to our large moon. This axis always points in the same direction and so it's always aligned with the same stars in our galaxy.

          3. The stars in our galaxy are orbiting the galactic center very slowly from our perspective, so human civilization would not have observed any significant change in the stars' positions across its lifetime.

          4. During the Earth's orbit around the Sun, its own change in position is so slight relative to the galactic scale that no significant stellar parallax can be expected.






          share|improve this answer















          share|improve this answer




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          edited Apr 30 at 16:25

























          answered Apr 29 at 21:00









          Kyle DelaneyKyle Delaney

          1513 bronze badges




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              4
















              $begingroup$

              Kick (or toss) an AFL/rugby football (a prolate spheroid) so that it spins rapidly (around its long axis) at the same as it traverses an arc (falling under gravity). You should be able to observe that the spin axis is parallel transported (at least if the perturbation by air resistance is weak enough to neglect).



              The earth is spinning. To change the direction it spins in (with respect to the inertial frame of distant stars) it would be necessary to apply some torque to the earth. A sun's gravity does not apply any torque to a spherical planet (due to the symmetries of the Newtonian forces applied).



              Since the earth is not quite a perfect sphere (e.g. is slightly oblate) there is a small torque applied by the sun's gravitational field gradient, so over millennia the planet's north axis gradually precesses to point toward different constellations.






              share|improve this answer










              $endgroup$



















                4
















                $begingroup$

                Kick (or toss) an AFL/rugby football (a prolate spheroid) so that it spins rapidly (around its long axis) at the same as it traverses an arc (falling under gravity). You should be able to observe that the spin axis is parallel transported (at least if the perturbation by air resistance is weak enough to neglect).



                The earth is spinning. To change the direction it spins in (with respect to the inertial frame of distant stars) it would be necessary to apply some torque to the earth. A sun's gravity does not apply any torque to a spherical planet (due to the symmetries of the Newtonian forces applied).



                Since the earth is not quite a perfect sphere (e.g. is slightly oblate) there is a small torque applied by the sun's gravitational field gradient, so over millennia the planet's north axis gradually precesses to point toward different constellations.






                share|improve this answer










                $endgroup$

















                  4














                  4










                  4







                  $begingroup$

                  Kick (or toss) an AFL/rugby football (a prolate spheroid) so that it spins rapidly (around its long axis) at the same as it traverses an arc (falling under gravity). You should be able to observe that the spin axis is parallel transported (at least if the perturbation by air resistance is weak enough to neglect).



                  The earth is spinning. To change the direction it spins in (with respect to the inertial frame of distant stars) it would be necessary to apply some torque to the earth. A sun's gravity does not apply any torque to a spherical planet (due to the symmetries of the Newtonian forces applied).



                  Since the earth is not quite a perfect sphere (e.g. is slightly oblate) there is a small torque applied by the sun's gravitational field gradient, so over millennia the planet's north axis gradually precesses to point toward different constellations.






                  share|improve this answer










                  $endgroup$



                  Kick (or toss) an AFL/rugby football (a prolate spheroid) so that it spins rapidly (around its long axis) at the same as it traverses an arc (falling under gravity). You should be able to observe that the spin axis is parallel transported (at least if the perturbation by air resistance is weak enough to neglect).



                  The earth is spinning. To change the direction it spins in (with respect to the inertial frame of distant stars) it would be necessary to apply some torque to the earth. A sun's gravity does not apply any torque to a spherical planet (due to the symmetries of the Newtonian forces applied).



                  Since the earth is not quite a perfect sphere (e.g. is slightly oblate) there is a small torque applied by the sun's gravitational field gradient, so over millennia the planet's north axis gradually precesses to point toward different constellations.







                  share|improve this answer













                  share|improve this answer




                  share|improve this answer



                  share|improve this answer










                  answered Apr 30 at 1:09









                  benjiminbenjimin

                  1411 bronze badge




                  1411 bronze badge































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