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How is linear momentum conserved in circular motion?

If the mass of the Earth is decreasing by sending debris in space, does its angular momentum also decrease?

Do mankind and manmade activities/constructions have any effect on the rotation of the Earth?Is Earth's orbit altered by recoil from take-off/launch/recovery of aero/space vehicles?Why Sun is not able to attract mercury closer?How much mass must Earth lose to lose its Moon?If I do work on an object, does that increase or decrease its gravitational potential energy?Angular Momentum of the UniverseConservation of angular momentum and the behaviour of velocity in orbitsWhy are large planets away from the Sun and smaller planets near the Sun?Entropy and gravitational attractionAs the sun expands, will its Roche limit also expand?Why does angular momentum being constant prove Kepler's first law?Conservation of Angular Momentum — Earth-Moon System — Earth spin backwards?

2

$begingroup$

We are sending huge amount of debris into space from earth, and also very heavy satellites and rockets, then the mass of earth must be decreasing over time.
If the mass will decrease, then gravitational attraction between earth and sun must decrease, and its angular momentum must decrease, which would result in greater orbit of earth and earth being cooler over the time, but instead the temperature of earth is increasing, why is it so?

newtonian-gravity angular-momentum rotational-dynamics planets estimation

share|cite|improve this question

edited 20 mins ago

isanae

1225

asked 10 hours ago

sawan kumawatsawan kumawat

1207

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Possible duplicates: physics.stackexchange.com/q/56245/2451 , physics.stackexchange.com/q/38542/2451 and links therein.
  $endgroup$
  – Qmechanic♦
  9 hours ago
  
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  @Qmechanic I see this a lot from you. Why do you comment with possible duplicates but don't vote to close them as such? Just curious, I am sure you have a good reason.
  $endgroup$
  – Aaron Stevens
  9 hours ago
  
  

  
  
  
  


• 
  
  
  

  
  3
  

  
  
  
  
  
  

  
  $begingroup$
  @AaronStevens: It is for democratic reasons preferred that the community VTC with 5 votes rather than a mod with 1 vote.
  $endgroup$
  – Qmechanic♦
  9 hours ago
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  @AaronStevens I have seen the same behavior from others on other stacks who have huge reps and I think they are acting well, giving the general population the chance to give an opinion. While I don't have much rep on here, I sometimes wait to see if a question will get vtc by others before committing myself.
  $endgroup$
  – Solar Mike
  9 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  @QMechanic ah ok. I was unaware you couldn't choose whether or not your single vote closes the question.
  $endgroup$
  – Aaron Stevens
  8 hours ago
  

  
  
  
  

 | 
show 2 more comments

2

$begingroup$

We are sending huge amount of debris into space from earth, and also very heavy satellites and rockets, then the mass of earth must be decreasing over time.
If the mass will decrease, then gravitational attraction between earth and sun must decrease, and its angular momentum must decrease, which would result in greater orbit of earth and earth being cooler over the time, but instead the temperature of earth is increasing, why is it so?

newtonian-gravity angular-momentum rotational-dynamics planets estimation

share|cite|improve this question

edited 20 mins ago

isanae

1225

asked 10 hours ago

sawan kumawatsawan kumawat

1207

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Possible duplicates: physics.stackexchange.com/q/56245/2451 , physics.stackexchange.com/q/38542/2451 and links therein.
  $endgroup$
  – Qmechanic♦
  9 hours ago
  
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  @Qmechanic I see this a lot from you. Why do you comment with possible duplicates but don't vote to close them as such? Just curious, I am sure you have a good reason.
  $endgroup$
  – Aaron Stevens
  9 hours ago
  
  

  
  
  
  


• 
  
  
  

  
  3
  

  
  
  
  
  
  

  
  $begingroup$
  @AaronStevens: It is for democratic reasons preferred that the community VTC with 5 votes rather than a mod with 1 vote.
  $endgroup$
  – Qmechanic♦
  9 hours ago
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  @AaronStevens I have seen the same behavior from others on other stacks who have huge reps and I think they are acting well, giving the general population the chance to give an opinion. While I don't have much rep on here, I sometimes wait to see if a question will get vtc by others before committing myself.
  $endgroup$
  – Solar Mike
  9 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  @QMechanic ah ok. I was unaware you couldn't choose whether or not your single vote closes the question.
  $endgroup$
  – Aaron Stevens
  8 hours ago
  

  
  
  
  

 | 
show 2 more comments

$begingroup$

We are sending huge amount of debris into space from earth, and also very heavy satellites and rockets, then the mass of earth must be decreasing over time.
If the mass will decrease, then gravitational attraction between earth and sun must decrease, and its angular momentum must decrease, which would result in greater orbit of earth and earth being cooler over the time, but instead the temperature of earth is increasing, why is it so?

newtonian-gravity angular-momentum rotational-dynamics planets estimation

share|cite|improve this question

edited 20 mins ago

isanae

1225

asked 10 hours ago

sawan kumawatsawan kumawat

1207

$endgroup$

share|cite|improve this question

edited 20 mins ago

isanae

1225

asked 10 hours ago

sawan kumawatsawan kumawat

1207

share|cite|improve this question

edited 20 mins ago

isanae

1225

asked 10 hours ago

sawan kumawatsawan kumawat

1207

edited 20 mins ago

isanae

1225

edited 20 mins ago

isanae

1225

asked 10 hours ago

sawan kumawatsawan kumawat

1207

asked 10 hours ago

sawan kumawatsawan kumawat

1207

4 Answers
4

active

oldest

votes

6

$begingroup$

The mass of material sent into orbit may seem huge to a naïve observer, but it is nothing at all compared to the mass of the Earth and wouldn't result in any detectable change in its orbit or rotation. Meanwhile, the mass of the Earth is actually increasing as it picks up dust, meteorites and micro-meteorites on its passage around the sun. A certain amount of the upper atmosphere is gradually leaking into space, but that is more than offset by the space debris which arrives. The majority of orbiting satellites will eventually fall back to Earth.

share|cite|improve this answer

edited 8 hours ago

answered 9 hours ago

Michael WalsbyMichael Walsby

19114

$endgroup$

• 
  
  
  

  
  4
  

  
  
  
  
  
  

  
  $begingroup$
  As I've mentioned to you before, can you please use proper typography on Stack Exchange sites. There should be a space after a comma.
  $endgroup$
  – PM 2Ring
  9 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  I'll try to remember.
  $endgroup$
  – Michael Walsby
  8 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  @MichaelWalsby so as a gesture of sincerity, could you edit your answer?
  $endgroup$
  – Solar Mike
  8 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  PM,I edited the answer, but when I clicked 'save edit' the result looked the same as it did before.
  $endgroup$
  – Michael Walsby
  8 hours ago
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  His free help wasn't good enough? This is worse than 'issues' over ]a,b] for a certain kind of interval; no one shall ever would need to confirm their interpretation when it's clearly English text and just lacking space after commas. It could be done for decent reasons. I have used some crappy not I18N-ised keyboard on an Android phone from a crappy vendor that didn't use stock that didn't put spaces after several punctuation marks, trying to move the cursor and add them is too painful to be worth it, nor ask someone else to do - unless I hated them! *** PS: copy, paste, > sed, copy, paste***
  $endgroup$
  – Alec Teal
  1 hour ago
  
  

  
  
  
  

 | 
show 1 more comment

4

$begingroup$

The amount of debris we are sending is so small in comparison to the total mass of the Earth, it is probably less than the error involved in measuring the total mass....

So, any change in angular momentum will be "lost" due to the errors involved.

share|cite|improve this answer

answered 9 hours ago

Solar MikeSolar Mike

32817

$endgroup$

add a comment | 

2

$begingroup$

While rockets seem huge, they are mostly fuel. Most of the fuel is burned up in the atmosphere, and never leaves Earth. The boosters usually return to Earth, so only a relatively small payload remains in orbit, or leaves orbit outward.

share|cite|improve this answer

answered 8 hours ago

Adrian HowardAdrian Howard

2446

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  While true, this is also quite irrelevant. Even if all the boosters and their fuel somehow did end up in space alongside the payload, their mass would still be completely insignificant compared to the mass of the Earth.
  $endgroup$
  – Ilmari Karonen
  34 mins ago
  

  
  
  
  

add a comment | 

2

$begingroup$

The existing answers are already sufficient, but it is also important to emphasise that if a satellite is sent to Earth orbit, then the launch does not affect the Earth's orbit around the Sun, because the Earth and the satellite continue to interact gravitationally, and the angular momentum of the Earth+satellite system is unchanged.

For there to be any effect on Earth's orbit, the spacecraft needs to be sent off into deep space (i.e. so it is no longer gravitationally bound to Earth), and only a select few spacecraft have been sent there.

As mentioned previously, the total mass and momentum of the spacecraft that have made it to space is negligible compared to the inertia of the Earth's mass. Selecting down to the couple dozen spacecraft that have left the system makes that comparison even more lopsided.

share|cite|improve this answer

answered 7 hours ago

Emilio PisantyEmilio Pisanty

88.4k23223456

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  I took it to mean the 24-ish hour spinning rotational motion BTW.
  $endgroup$
  – Alec Teal
  1 hour ago
  

  
  
  
  

add a comment | 

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6

$begingroup$

The mass of material sent into orbit may seem huge to a naïve observer, but it is nothing at all compared to the mass of the Earth and wouldn't result in any detectable change in its orbit or rotation. Meanwhile, the mass of the Earth is actually increasing as it picks up dust, meteorites and micro-meteorites on its passage around the sun. A certain amount of the upper atmosphere is gradually leaking into space, but that is more than offset by the space debris which arrives. The majority of orbiting satellites will eventually fall back to Earth.

share|cite|improve this answer

edited 8 hours ago

answered 9 hours ago

Michael WalsbyMichael Walsby

19114

$endgroup$

• 
  
  
  

  
  4
  

  
  
  
  
  
  

  
  $begingroup$
  As I've mentioned to you before, can you please use proper typography on Stack Exchange sites. There should be a space after a comma.
  $endgroup$
  – PM 2Ring
  9 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  I'll try to remember.
  $endgroup$
  – Michael Walsby
  8 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  @MichaelWalsby so as a gesture of sincerity, could you edit your answer?
  $endgroup$
  – Solar Mike
  8 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  PM,I edited the answer, but when I clicked 'save edit' the result looked the same as it did before.
  $endgroup$
  – Michael Walsby
  8 hours ago
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  His free help wasn't good enough? This is worse than 'issues' over ]a,b] for a certain kind of interval; no one shall ever would need to confirm their interpretation when it's clearly English text and just lacking space after commas. It could be done for decent reasons. I have used some crappy not I18N-ised keyboard on an Android phone from a crappy vendor that didn't use stock that didn't put spaces after several punctuation marks, trying to move the cursor and add them is too painful to be worth it, nor ask someone else to do - unless I hated them! *** PS: copy, paste, > sed, copy, paste***
  $endgroup$
  – Alec Teal
  1 hour ago
  
  

  
  
  
  

 | 
show 1 more comment

6

$begingroup$

The mass of material sent into orbit may seem huge to a naïve observer, but it is nothing at all compared to the mass of the Earth and wouldn't result in any detectable change in its orbit or rotation. Meanwhile, the mass of the Earth is actually increasing as it picks up dust, meteorites and micro-meteorites on its passage around the sun. A certain amount of the upper atmosphere is gradually leaking into space, but that is more than offset by the space debris which arrives. The majority of orbiting satellites will eventually fall back to Earth.

share|cite|improve this answer

edited 8 hours ago

answered 9 hours ago

Michael WalsbyMichael Walsby

19114

$endgroup$

• 
  
  
  

  
  4
  

  
  
  
  
  
  

  
  $begingroup$
  As I've mentioned to you before, can you please use proper typography on Stack Exchange sites. There should be a space after a comma.
  $endgroup$
  – PM 2Ring
  9 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  I'll try to remember.
  $endgroup$
  – Michael Walsby
  8 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  @MichaelWalsby so as a gesture of sincerity, could you edit your answer?
  $endgroup$
  – Solar Mike
  8 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  PM,I edited the answer, but when I clicked 'save edit' the result looked the same as it did before.
  $endgroup$
  – Michael Walsby
  8 hours ago
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  His free help wasn't good enough? This is worse than 'issues' over ]a,b] for a certain kind of interval; no one shall ever would need to confirm their interpretation when it's clearly English text and just lacking space after commas. It could be done for decent reasons. I have used some crappy not I18N-ised keyboard on an Android phone from a crappy vendor that didn't use stock that didn't put spaces after several punctuation marks, trying to move the cursor and add them is too painful to be worth it, nor ask someone else to do - unless I hated them! *** PS: copy, paste, > sed, copy, paste***
  $endgroup$
  – Alec Teal
  1 hour ago
  
  

  
  
  
  

 | 
show 1 more comment

$begingroup$

The mass of material sent into orbit may seem huge to a naïve observer, but it is nothing at all compared to the mass of the Earth and wouldn't result in any detectable change in its orbit or rotation. Meanwhile, the mass of the Earth is actually increasing as it picks up dust, meteorites and micro-meteorites on its passage around the sun. A certain amount of the upper atmosphere is gradually leaking into space, but that is more than offset by the space debris which arrives. The majority of orbiting satellites will eventually fall back to Earth.

share|cite|improve this answer

edited 8 hours ago

answered 9 hours ago

Michael WalsbyMichael Walsby

19114

$endgroup$

share|cite|improve this answer

edited 8 hours ago

answered 9 hours ago

Michael WalsbyMichael Walsby

19114

answered 9 hours ago

Michael WalsbyMichael Walsby

19114

answered 9 hours ago

Michael WalsbyMichael Walsby

19114

4

$begingroup$

The amount of debris we are sending is so small in comparison to the total mass of the Earth, it is probably less than the error involved in measuring the total mass....

So, any change in angular momentum will be "lost" due to the errors involved.

share|cite|improve this answer

answered 9 hours ago

Solar MikeSolar Mike

32817

$endgroup$

add a comment | 

4

$begingroup$

The amount of debris we are sending is so small in comparison to the total mass of the Earth, it is probably less than the error involved in measuring the total mass....

So, any change in angular momentum will be "lost" due to the errors involved.

share|cite|improve this answer

answered 9 hours ago

Solar MikeSolar Mike

32817

$endgroup$

add a comment | 

$begingroup$

The amount of debris we are sending is so small in comparison to the total mass of the Earth, it is probably less than the error involved in measuring the total mass....

So, any change in angular momentum will be "lost" due to the errors involved.

share|cite|improve this answer

answered 9 hours ago

Solar MikeSolar Mike

32817

$endgroup$

share|cite|improve this answer

answered 9 hours ago

Solar MikeSolar Mike

32817

answered 9 hours ago

Solar MikeSolar Mike

32817

answered 9 hours ago

Solar MikeSolar Mike

32817

2

$begingroup$

While rockets seem huge, they are mostly fuel. Most of the fuel is burned up in the atmosphere, and never leaves Earth. The boosters usually return to Earth, so only a relatively small payload remains in orbit, or leaves orbit outward.

share|cite|improve this answer

answered 8 hours ago

Adrian HowardAdrian Howard

2446

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  While true, this is also quite irrelevant. Even if all the boosters and their fuel somehow did end up in space alongside the payload, their mass would still be completely insignificant compared to the mass of the Earth.
  $endgroup$
  – Ilmari Karonen
  34 mins ago
  

  
  
  
  

add a comment | 

2

$begingroup$

While rockets seem huge, they are mostly fuel. Most of the fuel is burned up in the atmosphere, and never leaves Earth. The boosters usually return to Earth, so only a relatively small payload remains in orbit, or leaves orbit outward.

share|cite|improve this answer

answered 8 hours ago

Adrian HowardAdrian Howard

2446

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  While true, this is also quite irrelevant. Even if all the boosters and their fuel somehow did end up in space alongside the payload, their mass would still be completely insignificant compared to the mass of the Earth.
  $endgroup$
  – Ilmari Karonen
  34 mins ago
  

  
  
  
  

add a comment | 

$begingroup$

While rockets seem huge, they are mostly fuel. Most of the fuel is burned up in the atmosphere, and never leaves Earth. The boosters usually return to Earth, so only a relatively small payload remains in orbit, or leaves orbit outward.

share|cite|improve this answer

answered 8 hours ago

Adrian HowardAdrian Howard

2446

$endgroup$

share|cite|improve this answer

answered 8 hours ago

Adrian HowardAdrian Howard

2446

answered 8 hours ago

Adrian HowardAdrian Howard

2446

answered 8 hours ago

Adrian HowardAdrian Howard

2446

2

$begingroup$

The existing answers are already sufficient, but it is also important to emphasise that if a satellite is sent to Earth orbit, then the launch does not affect the Earth's orbit around the Sun, because the Earth and the satellite continue to interact gravitationally, and the angular momentum of the Earth+satellite system is unchanged.

For there to be any effect on Earth's orbit, the spacecraft needs to be sent off into deep space (i.e. so it is no longer gravitationally bound to Earth), and only a select few spacecraft have been sent there.

As mentioned previously, the total mass and momentum of the spacecraft that have made it to space is negligible compared to the inertia of the Earth's mass. Selecting down to the couple dozen spacecraft that have left the system makes that comparison even more lopsided.

share|cite|improve this answer

answered 7 hours ago

Emilio PisantyEmilio Pisanty

88.4k23223456

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  I took it to mean the 24-ish hour spinning rotational motion BTW.
  $endgroup$
  – Alec Teal
  1 hour ago
  

  
  
  
  

add a comment | 

2

$begingroup$

The existing answers are already sufficient, but it is also important to emphasise that if a satellite is sent to Earth orbit, then the launch does not affect the Earth's orbit around the Sun, because the Earth and the satellite continue to interact gravitationally, and the angular momentum of the Earth+satellite system is unchanged.

For there to be any effect on Earth's orbit, the spacecraft needs to be sent off into deep space (i.e. so it is no longer gravitationally bound to Earth), and only a select few spacecraft have been sent there.

As mentioned previously, the total mass and momentum of the spacecraft that have made it to space is negligible compared to the inertia of the Earth's mass. Selecting down to the couple dozen spacecraft that have left the system makes that comparison even more lopsided.

share|cite|improve this answer

answered 7 hours ago

Emilio PisantyEmilio Pisanty

88.4k23223456

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  I took it to mean the 24-ish hour spinning rotational motion BTW.
  $endgroup$
  – Alec Teal
  1 hour ago
  

  
  
  
  

add a comment | 

$begingroup$

The existing answers are already sufficient, but it is also important to emphasise that if a satellite is sent to Earth orbit, then the launch does not affect the Earth's orbit around the Sun, because the Earth and the satellite continue to interact gravitationally, and the angular momentum of the Earth+satellite system is unchanged.

For there to be any effect on Earth's orbit, the spacecraft needs to be sent off into deep space (i.e. so it is no longer gravitationally bound to Earth), and only a select few spacecraft have been sent there.

As mentioned previously, the total mass and momentum of the spacecraft that have made it to space is negligible compared to the inertia of the Earth's mass. Selecting down to the couple dozen spacecraft that have left the system makes that comparison even more lopsided.

share|cite|improve this answer

answered 7 hours ago

Emilio PisantyEmilio Pisanty

88.4k23223456

$endgroup$

share|cite|improve this answer

answered 7 hours ago

Emilio PisantyEmilio Pisanty

88.4k23223456

answered 7 hours ago

Emilio PisantyEmilio Pisanty

88.4k23223456

answered 7 hours ago

Emilio PisantyEmilio Pisanty

88.4k23223456