boinor.twobody.angles¶

Angles and anomalies.

Functions¶

`D_to_nu`(D)	True anomaly from parabolic eccentric anomaly.
`nu_to_D`(nu)	Parabolic eccentric anomaly from true anomaly.
`nu_to_E`(nu, ecc)	Eccentric anomaly from true anomaly.
`nu_to_F`(nu, ecc)	Hyperbolic eccentric anomaly from true anomaly.
`E_to_nu`(E, ecc)	True anomaly from eccentric anomaly.
`F_to_nu`(F, ecc)	True anomaly from hyperbolic eccentric anomaly.
`M_to_E`(M, ecc)	Eccentric anomaly from mean anomaly.
`M_to_E_scalar`(M, ecc)	Eccentric anomaly from mean anomaly.
`M_to_E_vector`(M, ecc)	Eccentric anomaly from mean anomaly.
`M_to_E_scavec`(M, ecc)	Eccentric anomaly from mean anomaly.
`M_to_F`(M, ecc)	Hyperbolic eccentric anomaly from mean anomaly.
`M_to_F_scalar`(M, ecc)	Hyperbolic eccentric anomaly from mean anomaly.
`M_to_F_vector`(M, ecc)	Hyperbolic eccentric anomaly from mean anomaly.
`M_to_F_scavec`(M, ecc)	Hyperbolic eccentric anomaly from mean anomaly.
`M_to_D`(M)	Parabolic eccentric anomaly from mean anomaly.
`E_to_M`(E, ecc)	Mean anomaly from eccentric anomaly.
`F_to_M`(F, ecc)	Mean anomaly from eccentric anomaly.
`D_to_M`(D)	Mean anomaly from eccentric anomaly.
`fp_angle`(nu, ecc)	Flight path angle.

Module Contents¶

boinor.twobody.angles.D_to_nu(D)¶

True anomaly from parabolic eccentric anomaly.

Parameters:: D (Quantity) – Eccentric anomaly.
Returns:: nu – True anomaly.
Return type:: Quantity

Notes

Taken from Farnocchia et al. [FCM13].

boinor.twobody.angles.nu_to_D(nu)¶

Parabolic eccentric anomaly from true anomaly.

Parameters:: nu (Quantity) – True anomaly.
Returns:: D – Hyperbolic eccentric anomaly.
Return type:: Quantity

Notes

Taken from Farnocchia et al. [FCM13].

boinor.twobody.angles.nu_to_E(nu, ecc)¶

Eccentric anomaly from true anomaly.

Added in version 0.4.0.

Parameters:

nu (Quantity) – True anomaly.
ecc (Quantity) – Eccentricity.

Returns:

E – Eccentric anomaly.

Return type:

Quantity

boinor.twobody.angles.nu_to_F(nu, ecc)¶

Hyperbolic eccentric anomaly from true anomaly.

Parameters:

nu (Quantity) – True anomaly.
ecc (Quantity) – Eccentricity (>1).

Returns:

F – Hyperbolic eccentric anomaly.

Return type:

Quantity

Notes

Taken from Curtis [Cur13, p. 167].

boinor.twobody.angles.E_to_nu(E, ecc)¶

True anomaly from eccentric anomaly.

Added in version 0.4.0.

Parameters:

E (Quantity) – Eccentric anomaly.
ecc (Quantity) – Eccentricity.

Returns:

nu – True anomaly.

Return type:

Quantity

boinor.twobody.angles.F_to_nu(F, ecc)¶

True anomaly from hyperbolic eccentric anomaly.

Parameters:

F (Quantity) – Hyperbolic eccentric anomaly.
ecc (Quantity) – Eccentricity (>1).

Returns:

nu – True anomaly.

Return type:

Quantity

boinor.twobody.angles.M_to_E(M, ecc)¶

Eccentric anomaly from mean anomaly.

Added in version 0.4.0.

Parameters:

M (Quantity) – Mean anomaly.
ecc (Quantity) – Eccentricity.

Returns:

E – Eccentric anomaly.

Return type:

Quantity

boinor.twobody.angles.M_to_E_scalar(M, ecc)¶

Eccentric anomaly from mean anomaly.

Added in version 0.4.0.

Parameters:

M (Quantity) – Mean anomaly.
ecc (Quantity) – Eccentricity.

Returns:

E – Eccentric anomaly.

Return type:

Quantity

boinor.twobody.angles.M_to_E_vector(M, ecc)¶

Eccentric anomaly from mean anomaly.

Added in version 0.4.0.

Parameters:

M (Quantity) – Mean anomaly.
ecc (Quantity) – Eccentricity.

Returns:

E – Eccentric anomaly.

Return type:

Quantity

boinor.twobody.angles.M_to_E_scavec(M, ecc)¶

Eccentric anomaly from mean anomaly.

Added in version 0.4.0.

Parameters:

M (Quantity) – Mean anomaly.
ecc (Quantity) – Eccentricity.

Returns:

E – Eccentric anomaly.

Return type:

Quantity

boinor.twobody.angles.M_to_F(M, ecc)¶

Hyperbolic eccentric anomaly from mean anomaly.

Parameters:

M (Quantity) – Mean anomaly.
ecc (Quantity) – Eccentricity (>1).

Returns:

F – Hyperbolic eccentric anomaly.

Return type:

Quantity

boinor.twobody.angles.M_to_F_scalar(M, ecc)¶

Hyperbolic eccentric anomaly from mean anomaly.

Parameters:

M (Quantity) – Mean anomaly.
ecc (Quantity) – Eccentricity (>1).

Returns:

F – Hyperbolic eccentric anomaly.

Return type:

Quantity

boinor.twobody.angles.M_to_F_vector(M, ecc)¶

Hyperbolic eccentric anomaly from mean anomaly.

Parameters:

M (Quantity) – Mean anomaly.
ecc (Quantity) – Eccentricity (>1).

Returns:

F – Hyperbolic eccentric anomaly.

Return type:

Quantity

boinor.twobody.angles.M_to_F_scavec(M, ecc)¶

Hyperbolic eccentric anomaly from mean anomaly.

Parameters:

M (Quantity) – Mean anomaly.
ecc (Quantity) – Eccentricity (>1).

Returns:

F – Hyperbolic eccentric anomaly.

Return type:

Quantity

boinor.twobody.angles.M_to_D(M)¶

Parabolic eccentric anomaly from mean anomaly.

Parameters:: M (Quantity) – Mean anomaly.
Returns:: D – Parabolic eccentric anomaly.
Return type:: Quantity

boinor.twobody.angles.E_to_M(E, ecc)¶

Mean anomaly from eccentric anomaly.

Added in version 0.4.0.

Parameters:

E (Quantity) – Eccentric anomaly.
ecc (Quantity) – Eccentricity.

Returns:

M – Mean anomaly.

Return type:

Quantity

boinor.twobody.angles.F_to_M(F, ecc)¶

Mean anomaly from eccentric anomaly.

Parameters:

F (Quantity) – Hyperbolic eccentric anomaly.
ecc (Quantity) – Eccentricity (>1).

Returns:

M – Mean anomaly.

Return type:

Quantity

boinor.twobody.angles.D_to_M(D)¶

Mean anomaly from eccentric anomaly.

Parameters:: D (Quantity) – Parabolic eccentric anomaly.
Returns:: M – Mean anomaly.
Return type:: Quantity

boinor.twobody.angles.fp_angle(nu, ecc)¶

Flight path angle.

Added in version 0.4.0.

Parameters:

nu (Quantity) – True anomaly.
ecc (Quantity) – Eccentricity.

Notes

Algorithm taken from Vallado 2007, pp. 113.