Inclination Entangled With Other Orbital Elements
An important subtlety of performing an inclination change is that Keplerian orbital inclination is defined by the angle between ecliptic North and the vector normal to the orbit plane, (i.e. the angular momentum vector). This means that inclination is always positive and is entangled with other orbital elements primarily the argument of periapsis which is in turn connected to the longitude of the ascending node. This can result in two very different orbits with precisely the same inclination.
Read more about this topic: Orbital Inclination Change
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A brother’s murder. Pray can I not,
Though inclination be as sharp as will;
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Is there not rain enough in the sweet heavens
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“They are so greedy and impetuous that they are frequently caught by being entangled in the line the moment it is cast.”
—Henry David Thoreau (1817–1862)
“Three elements go to make up an idea. The first is its intrinsic quality as a feeling. The second is the energy with which it affects other ideas, an energy which is infinite in the here-and-nowness of immediate sensation, finite and relative in the recency of the past. The third element is the tendency of an idea to bring along other ideas with it.”
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