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The surface gravity, g, of an astronomical object is the gravitational acceleration experienced at its surface at the equator, including the effects of rotation. The surface gravity may be thought of as the acceleration due to gravity experienced by a hypothetical test particle which is very close to the object's surface and which, in order not to disturb the system, has negligible mass.
Preflight engineering. Efficiency measures. Propulsive maneuvers. v. t. e. A sphere of influence (SOI) in astrodynamics and astronomy is the oblate-spheroid -shaped region where a particular celestial body exerts the main gravitational influence on an orbiting object.
v. t. e. The Hill sphere is a common model for the calculation of a gravitational sphere of influence. It is the most commonly used model to calculate the spatial extent of gravitational influence of an astronomical body (m) in which it dominates over the gravitational influence of other bodies, particularly a primary (M). [1]
Standard gravitational parameter. The standard gravitational parameter μ of a celestial body is the product of the gravitational constant G and the mass M of that body. For two bodies, the parameter may be expressed as G(m1 + m2), or as GM when one body is much larger than the other: For several objects in the Solar System, the value of μ is ...
Escape speed at a distance d from the center of a spherically symmetric primary body (such as a star or a planet) with mass M is given by the formula [2] [3] = = where: G is the universal gravitational constant (G ≈ 6.67×10 −11 m 3 ·kg −1 ·s −2)
The acceleration of Solar System body number i is, according to Newton's laws: ¨ = ^ where is the mass of body j, is the distance between body i and body j, ^ is the unit vector from body i towards body j, and the vector summation is over all bodies in the Solar System, besides i itself.
The Solar System [d] ... counterbalancing the force of gravity. ... transit of Venus allowed astronomers to calculate the average Earth–Sun distance as 93,726,900 ...
Calculations in celestial mechanics can also be carried out using the units of solar masses, mean solar days and astronomical units rather than standard SI units. For this purpose, the Gaussian gravitational constant was historically in widespread use, k = 0.017 202 098 95 radians per day, expressing the mean angular velocity of the Sun–Earth ...