91影视

The rotating inertia of an object or system of objects in motion about an axis that may or may not pass through the object or system is described by angular momentum.

$\stackrel{鈫�}{L}=\stackrel{鈫�}{r}脳\stackrel{鈫�}{p}$

Here,$\stackrel{鈫�}{r}$is the unit vector,$\stackrel{鈫�}{p}$is the linear momentum vector, and$\stackrel{鈫�}{L}$ is the angular momentum vector.

Use the right-hand rule to find the direction of angular momentum vector.

The figure which shows the directions of linear momentum, radius vectors at locations 1 and 2 is given below.

When comet is at location 1, by right hand rule, the direction of${\stackrel{鈫�}{L}}_A$ is normally outward to the plane of the paper.

At location 1, the magnitude of angular momentum ${\stackrel{鈫�}{L}}_A$is

$\begin{array}{rcl}\left|{\stackrel{鈫�}{L}}_A\right|& =& |{\stackrel{鈫�}{d}}_1脳{\stackrel{鈫�}{p}}_1|\\ & =& d_1{p}_1\sin 伪\\ & & \end{array}$

Therefore, the orbital angular momentum of the comet at location 1 is$d_1{p}_1\sin 伪$ .

The direction of angular momentum at the location 2 according to the right-hand rule is directed out of the plane of the paper.

At location 2, the magnitude of angular momentum${\stackrel{鈫�}{L}}_A$ is

$\begin{array}{rcl}\left|{\stackrel{鈫�}{L}}_2\right|& =& |{\stackrel{鈫�}{d}}_2脳{\stackrel{鈫�}{p}}_2|\\ & =& d_2{p}_2\sin 90掳\\ & =& d_2{p}_2\end{array}$

Therefore, the orbital angular momentum of the comet at location 2 is$d_2{p}_2$.

Hence, the direction and the magnitude of the comet is at location 1 is normally outward to the plane of the paper and$=d_1{p}_1\sin 伪$ .

The direction and the magnitude of the comet is at location 2 is directed out of the plane of the paper and$=d_2{p}_2$ .