M	material point
t	time
mH	mass of the sun – 2.1030 kg
mT	mass of the Earth – 6.1024 kg
GH	center of inertia of the Sun
GT	center of inertia of the Earth
GT GH	distance between the Sun and the Earth ~ 150.109 m
	Universal gravitational constant 6,67.10−11 m3kg−1S−2
m(S)	mass of a solid (S)
δij	Kronecker symbol
εijk	three-index permutation symbol
	vector
	basis
	frame
ψ, θ, φ	Euler angles, specifically the precession, nutation and spin angles in order
	plane of the two vectors and
	plane of the two vectors and passing through point O
	bipoint vector
	situation bipoint or situation vector of point OS in relation to the point Oλ of selected frame of reference λ
	angle of two vectors oriented from towards
	norm of vector
	scalar product of vectors and
	vector product of vectors and
	polar unit vector in cylindrical-polar coordinates
	polar unit vector in spherical coordinates
	vector rotation of angle α around the axis defined by vector
	trajectory, in the frame λ, of material point M, during the time interval [ti, tf]
	velocity at time t of the material point M during its motion in the frame λ
	acceleration at time t of the material point M throughout its motion in the frame λ
	rotation vector or rotation rate of the solid (S) in its motion in relation to frame λ
	drive velocity of the material point M in the relative motion of the frame μ in relation to the frame λ
	drive acceleration of the material point M in the relative motion of the frame μ in relation to the frame λ
	Coriolis acceleration applied to the material point M during its relative motion of the frame μ in relation to the frame λ
	derivative in relation to time of the vector in the frame λ
	torsor characterized by its two reduction elements at point P
	resultant of the torsor {} : 1st reduction element
	moment at P of the torsor {} : 2nd reduction element
	scalar invariant of the torsor {}, independent of point P
	product of two torsors
	velocity distributing torsor or kinematic torsor associated with the motion of the material point Ps of the solid (S)
	kinetic torsor associated with the motion of the solid (S) in the frame λ
	dynamic torsor associated with the motion of solid (S) in the frame λ
IOs (S|m)	inertia operator of the solid (S) provided the measure of mass m
	inertia drive torsor of the solid (S) in the relative motion of λ in relation to g
	inertia Coriolis torsor of solid (S) in the motion relative of λ in relation to g
{Δ}	torsor of known efforts acceleration of Earth’s gravity ~ 9.80665 ms−2 (9.81 on average)
g	depending on the location and latitude of the body which is subject to
	torsor of unknown efforts
	link acting upon a solid
	torsor of link efforts applied to the solid (S)
	power developed by the set of forces F acting upon the solid (S) throughout its motion
	partial power relative to the variable Qα, developed by the set of forces F acting upon the solid (S) throughout its motion
T(λ)(S)	kinetic energy of the solid (S) throughout its motion in relation to the frame λ
(Lα)	Lagrange equation relative to the variable Qα

When the situation of the solid (S) in the frame λ is represented by the parameters Q_α, we write : where

	partial distributing torsor relative to the variable Qα
	partial rotation rate relative to the variable Qα, component of the variable of the rotation rate, such that
	component of the variable of the velocity vector of the point OS, such that