152301

Effect of tilting of the lunar trajectory plane

Effect of tilting of the lunar trajectory plane

If the moon moves in the trajectory plane which is the plane of the Earth’s orbit around the Sun. All the time, there will be a bi-monthly eclipse every month. It is a lunar eclipse and a solar eclipse, but the moon’s orbital plane is tilted about 5 degrees to the ecliptic plane, so the moon normally floats through. to go above or below the earth continuation line with the sun When the Earth’s vector radius (i.e. a straight line drawn from the Sun to the Earth) almost overlaps the Moon’s node line, an eclipse occurs. (Moon’s node line is which is dragged from the Earth to the point where the moon’s orbit intersects the plane of the trajectory).

Show the Earth’s orbit and the moon in two positions As can be seen from a point in the direction about 45 degrees above the plane of the trajectory. The dotted line part of the moon’s orbit lies beneath the plane of the trajectory, and thinks that It’s like being behind the page on which this picture is shown. The rest are full lines. Above the trajectory or above a sheet of paper

In position 1, the moon passes above the Earth’s shadow on the full moon day (B) and is below the vector radius. On the day of the dark moon (A), on such a day no eclipse will occur. In position 2, the vector radius overlaps the node line. Points A and B are in the plane of the trajectory. and if such a day is a full moon day or the day of the dark moon appropriate to have an eclipse

The Earth’s shadow and the Moon’s shadow may be illustrated in the diagram on the next page, where L is the length of the Earth’s shadow, R is the distance from the Earth to the Sun, d is the Earth’s diameter, and D is the Sun’s diameter.

The shadow of the earth is a cone. In which the HCK cross section lies between the straight line BK and AH, which is the line tangent to both the Earth and the Sun. Since the Earth’s distance from the Sun is very long, compared to the size of the Earth and the Sun, lines BK and AH are almost parallel. Therefore, lines AB and HK, which connect the tangents, almost converge with diameters D and d.

by calculating the same way The length of the moon’s shadow averages about 373,000 kilometers, which can vary about 6,400 kilometers when the distance of the moon from Earth is 357,000 kilometers closest and 407,000 kilometers farthest. The moon was long enough to reach Earth, but at some point it was too short. reach the world In the first case, those who are in the center line between the stars. monday with sun will see a total solar eclipse in the case of the diameter of the moon as shown shorter than the diameter of the sun those in the center line will see a bright circle around dark moon Solar eclipses that occur in this way are annular solar eclipses.

Shadows caused by large luminous objects, such as the sun, are made up of shadows and penumbra. These shadows lie between the tangent BH and the extended AK, as shown in the diagram below on page 29. cut out But there is still some sunlight that passes through the earth’s atmosphere and bends into the shadow of the earth. Within the penumbra there must have been some direct light. of the sun’s surface but not all