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## Main Question or Discussion Point

Good evening,

Suppose that there are two bodies, A and B, of masses m

Now, I want to calculate the gravitational acceleration of A as seen from B's reference frame, which is non-inertial. It would be [tex]\vec{a}_A-\vec{a}_B[/tex].

Now, suppose I want to calculate the net force in A. It would be [tex]m_A\vec{a}_A-m_A\vec{a}_B = m_A\vec{a}_A+(-m_A\vec{a}_B)[/tex].

My question is: A new force seems to appear here: [tex]-m_A\vec{a}_B[/tex]. Since B is a non-inertial reference frame, should I consider this a fictitious force? If yes, is there a name for this particular fictitious force?

Thank you in advance.

Suppose that there are two bodies, A and B, of masses m

_{A}and m_{B}, in vacuum. In an arbitrary inertial reference frame, the gravitational acceleration produced by B in A is [tex]\vec{a}_A[/tex] and the one produced by A in B is [tex]\vec{a}_B[/tex].Now, I want to calculate the gravitational acceleration of A as seen from B's reference frame, which is non-inertial. It would be [tex]\vec{a}_A-\vec{a}_B[/tex].

Now, suppose I want to calculate the net force in A. It would be [tex]m_A\vec{a}_A-m_A\vec{a}_B = m_A\vec{a}_A+(-m_A\vec{a}_B)[/tex].

My question is: A new force seems to appear here: [tex]-m_A\vec{a}_B[/tex]. Since B is a non-inertial reference frame, should I consider this a fictitious force? If yes, is there a name for this particular fictitious force?

Thank you in advance.

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