Here, , , and are the planet's orbital inclination to the ecliptic plane, longitude of the ascending node (relative to the vernal equinox), and argument of the perihelion, respectively.

Equations (I.6) and (I.33) imply that

It follows that

However, Equations (I.19)-(I.21) can be combined with Equation (I.33) to give

Thus, Equations (I.22), (I.39), and (I.42) yield

Equations (I.34), (I.35), (I.37), and (I.38) imply that

(I.44) |

or

(I.45) |

However, it follows from Equations (I.40) and (I.41) that

(I.46) |

Hence, we obtain

(I.47) |

According to Equations (I.8) and (I.33),

(I.48) |

which implies that

(I.49) |

Thus, it follows from Equations (I.27) and (I.43) that

(I.50) |

However, Equations (I.24)-(I.26) and (I.33) give

(I.51) |

A comparison of the previous two equations yields

(I.52) |