Acceleration due to gravity via gravity force and centripetal acceleration¶
Suppose a reference frame \(S'\) is fixed to a rotating body \(A\) (e.g. Earth), so that frame \(S'\) rotates w.r.t. another static reference frame \(S\). The acceleration due to gravity (in moving frame \(S'\)) is the acceleration another body \(B\) has in the gravity field of body \(A\), with rotational effects such as the centripetal acceleration taken into account. It is the same for all bodies at a fixed point, but can be different at different points in space.
- Symbol:
m- Latex:
\(m\)
- Dimension:
mass
- acceleration_due_to_gravity¶
Vector of acceleration due to gravity of body \(B\).
- Symbol:
g- Latex:
\({\vec g}\)
- Dimension:
acceleration
- Symbol:
F- Latex:
\({\vec F}\)
- Dimension:
force
- centripetal_acceleration¶
Vector of centripetal
accelerationof body \(B\).
- Symbol:
a_cp- Latex:
\({\vec a}_\text{cp}\)
- Dimension:
acceleration
- law¶
g = F / m - a_cp- Latex:
- \[{\vec g} = \frac{{\vec F}}{m} - {\vec a}_\text{cp}\]