Tutorial: Basic Orbiting (Math)/zh-cn

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在基础轨道飞行指南篇中,你了解了轨道飞行的概念以及基本的轨道稳定调整,还有那个有助于了解飞行轨道参数的轨道列表。现在,假如你的轨道并不在这个表里该怎么办?假如你需要一个特定周期的轨道呢?下面这些公式会在这些场合起作用。

Orbital Speed

The relation between orbital speed and acceleration is given by the formula:

where a is the acceleration due to gravity, v is the horizontal speed, and r is the radius of orbit.

Of course, gravity varies depending on your distance from the planet, so we also need the following formula to determine a based on your altitude:

where g is the acceleration due to gravity at sea level (9.807 m/s2), R is the radius of Kerbin (600 km), and h is the altitude of your orbit.

Note: Since the radius of your orbit r is equal to the radius of Kerbin R plus your altitude h, we can substitute R + h for r.

Now we have two expressions for a, so we set them on opposite sides of an equation and simplify:

Finally, substituting known values for g and R,

Orbital Period

From the basic mechanics formula:

We know v from the above, and d is simply the circumference of a circle with a radius equal to your orbital altitude plus the radius of Kerbin: