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
Famous quotes containing the words inclination, entangled and/or elements:
“O, my offense is rank, it smells to heaven;
It hath the primal eldest curse upon ‘t,
A brother’s murder. Pray can I not,
Though inclination be as sharp as will;
My stronger guilt defeats my strong intent,
And like a man to double business bound
I stand in pause where I shall first begin,
And both neglect. What if this cursed hand
Were thicker than itself with brother’s blood,
Is there not rain enough in the sweet heavens
To wash it white as snow?”
—William Shakespeare (1564–1616)
“Certainly for us of the modern world, with its conflicting claims, its entangled interests, distracted by so many sorrows, so many preoccupations, so bewildering an experience, the problem of unity with ourselves in blitheness and repose, is far harder than it was for the Greek within the simple terms of antique life. Yet, not less than ever, the intellect demands completeness, centrality.”
—Walter Pater (1839–1894)
“There surely is a being who presides over the universe; and who, with infinite wisdom and power, has reduced the jarring elements into just order and proportion. Let speculative reasoners dispute, how far this beneficent being extends his care, and whether he prolongs our existence beyond the grave, in order to bestow on virtue its just reward, and render it fully triumphant.”
—David Hume (1711–1776)