The orbit of a spacecraft around the sun has a perihelion distance of 0.1 au and an aphelion distance of 0.4 au. what is the semimajor axis of the spacecraft? what is its orbital period?

Solution:

The major axis is the sum of the perihelion and aphelion distances so it is equal to

(0.1 + 0.4) = 0.5 AU

and the semi-major axis is half of the major axis,

= half of (0.1 + 0.4) = half of 0.5 = 0.25 AU.

From Kepler’s 3rd law, P2 = a3 = (0.25)3 = 0.015625 years.

the following is queen elizabeth’s purposes:

- to encourage the parliament that the technique of picking successors to the seat based merely on birthright needs to be reviewed.

- (not) to convince the parliament that her kid should not be measured as a likely choice for heir to the english power.

- to persuade the parliament that merely since she has a child does not assure that the kid will be a capable leader.

- to sway the parliament how shattering it could be if they proceeded discourteously concerning her or her child.