# On some planet, the tropic coincided with the Arctic Circle. At what angle is the axis of rotation of this planet inclined to the orbital plane?

On some planet, the tropic coincided with the Arctic Circle. At what angle is the axis of rotation of this planet inclined to the orbital plane? Neglect angular dimensions of the central star and atmospheric effects

Let’s designate the angle of inclination of the plane of the planet’s equator to the plane of its orbit as e. Then on the day of the summer solstice, the central star will have declination e and fall into the zenith at the same latitude, this will be the northern tropic. And at latitude (90), the lower climax of the star will be on the northern horizon, this will be the polar circle. If it coincides with the tropic, we get e = 45.

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