Difference between revisions of "Tutorial: Basic Orbiting (Math)/zh-cn"

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In the basic orbiting tutorial, you were introduced to the concept of orbiting, and basic orbit stabilization, as well as an orbital table to help you along. Now, what if you want an orbit that isn't on that table? What if you want to have an orbit with a specific period? That's where these formulae come in.
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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,as well as an orbital table to help you along。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==
 
==Orbital Speed==

Revision as of 03:36, 3 June 2013

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,as well as an orbital table to help you along。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: