The exact relationship between φ and γ is defined by the equation γ = φ + 90°, where γ is the angle between the horizontal and the line from the observer to the object, and φ is the angle between the observer's line of sight and the horizontal plane.
In terms of trigonometry, φ and γ are related by the tangent function. The tangent of γ is equal to the tangent of φ plus 1, where 1 represents the tangent of 90°.
φ and γ can be measured in degrees, radians, or other angular units. It is important to make sure that the units for both angles are the same when using trigonometric functions to find their relationship.
The relationship between φ and γ is crucial in calculating the position of celestial objects in the sky. It helps astronomers determine the direction and elevation of an object in relation to the observer, which is necessary for accurate observations and mapping of the night sky.
Yes, the relationship between φ and γ can change depending on the position of the observer and the object being observed. For example, if the observer moves to a different location, the angles will change accordingly. Additionally, the relationship between the two angles can also change due to the rotation of the Earth or the movement of the celestial objects being observed.