[This is the third in a series of articles giving the background to Ed Belbruno's work on the Interplanetary Transport Network. The first earlier articles were Halfway to anywhere, and Lagrange points (1). This article derives the final two Lagrange points, L4 and L5.] One of the reasons Stephen Hawkins and others are so silly [...]
The sun’s mass M is about 333,000 times the earth’s mass m, so at the same distance an object is pulled 333,000 times harder by the sun. [For convenience, we will often use k = M/m]. Sitting on the surface of the earth, this is completely outweighed by the fact that the centre of the [...]
[Ed Belbruno promoting his second - more popular book "Fly Me to the Moon" (a short - pp176 - autobiographical account of his ideas). His more technical book was Capture Dynamics and Chaotic Motions in Celestial Mechanics, pp224, 2004] I am hoping to write a few articles on orbital mechanics, leading up to the idea [...]
It is clear that for engineering everyone needs to use the same system of units (for example, the great Hubble space telescope debacle illustrates the perils of mixing different sets of units when trying to make something – Hubble was launched in April 1990, but it was soon realized that its main mirror had been [...]
Before moving on to consider momentum and energy, there is one other aspect of special relativity that I have so far neglected: the invariance of the interval. Given any two points, A and B, in ordinary Newtonian space, the distance between them is the same whatever coordinate system we use. This is almost obvious. In [...]
