Table 1: Secular resonances involving the perihelion, the node, and combinations of perihelion and node of the asteroid. The first, third, and fifth columns report the resonant argument in terms of the planetary frequencies, and the second, fourth, and sixth we give the names we use in this article.
Perihelion res. Names Node res. Names Perihelion and node res. Names

g - 2g₅ - g₆ + 2g₇ ${\gamma}_1$ s -s₆ + g₆ - g₇ ${\sigma}_1$ 2g - g₆ - g₄ + s - s₄ ${\psi}_1$

2g - 2g₆ +g₅ - g₄ ${\gamma }_2$ s -s₆ - g₅ + g₆ ${\sigma}_2$ 2g - g₆ - g₇ + s - s₇ ${\psi}_2$

2g - 2g₆ + g₇ - g₄ ${\gamma}_{3a}$ s - 2s₆ + s₇ ${\sigma}_3$ 2g - g₅ - g₆ + s - s₇ ${\psi}_3$

2g - 3g₆ + g₄ ${\gamma}_{3b}$ s - 2s₆ + s₄ ${\sigma}_4$ 2(g-g₆) + s - s₆ ${\psi}_4$ ,z₂

g + 2g₅ - 3g₄ ${\gamma}_4$ s - s₆ - g₇ + g₄ ${\sigma}_{5a}$ g - g₄ + 2s - 2s₆ ${\psi}_5$

g + g₅ + g₇ - 3g₄ ${\gamma}_{5a}$ s - s₆ + g₆ - g₄ ${\sigma}_{5b}$ g - g₅ + 2s- s₆ - s₄ ${\psi}_6$

g + g₅ - g₆ - g₄ ${\gamma}_{5b}$ s - s₄ - g₅ + g₆ ${\sigma}_{6}$ g - g₇ + 2s - s₆ - s₄ ${\psi}_7$

g + g₅ - 2g₆ - g₇ + g₄ ${\gamma}_{5c}$ s -s₄ + g₆ - g₇ ${\sigma}_7$ g - g₅ + 2s- 2s₆ ${\psi}_8$

g + 2g₇ - 3g₄ ${\gamma}_{6a}$ g - g₇ +2s - 2s₆ ${\psi}_9$

g - g₆ + g₇ - g₄ ${\gamma}_{6b}$

g - 2g₆ + g₄ ${\gamma}_{6c}$

**Table 1:** Secular resonances involving the perihelion, the node, and combinations of perihelion and node of the asteroid. The first, third, and fifth columns report the resonant argument in terms of the planetary frequencies, and the second, fourth, and sixth we give the names we use in this article.
Perihelion res.	Names	Node res.	Names	Perihelion and node res.	Names
g - 2g₅ - g₆ + 2g₇	${\gamma}_1$	s -s₆ + g₆ - g₇	${\sigma}_1$	2g - g₆ - g₄ + s - s₄	${\psi}_1$
2g - 2g₆ +g₅ - g₄	${\gamma }_2$	s -s₆ - g₅ + g₆	${\sigma}_2$	2g - g₆ - g₇ + s - s₇	${\psi}_2$
2g - 2g₆ + g₇ - g₄	${\gamma}_{3a}$	s - 2s₆ + s₇	${\sigma}_3$	2g - g₅ - g₆ + s - s₇	${\psi}_3$
2g - 3g₆ + g₄	${\gamma}_{3b}$	s - 2s₆ + s₄	${\sigma}_4$	2(g-g₆) + s - s₆	${\psi}_4$ ,z₂
g + 2g₅ - 3g₄	${\gamma}_4$	s - s₆ - g₇ + g₄	${\sigma}_{5a}$	g - g₄ + 2s - 2s₆	${\psi}_5$
g + g₅ + g₇ - 3g₄	${\gamma}_{5a}$	s - s₆ + g₆ - g₄	${\sigma}_{5b}$	g - g₅ + 2s- s₆ - s₄	${\psi}_6$
g + g₅ - g₆ - g₄	${\gamma}_{5b}$	s - s₄ - g₅ + g₆	${\sigma}_{6}$	g - g₇ + 2s - s₆ - s₄	${\psi}_7$
g + g₅ - 2g₆ - g₇ + g₄	${\gamma}_{5c}$	s -s₄ + g₆ - g₇	${\sigma}_7$	g - g₅ + 2s- 2s₆	${\psi}_8$
g + 2g₇ - 3g₄	${\gamma}_{6a}$			g - g₇ +2s - 2s₆	${\psi}_9$
g - g₆ + g₇ - g₄	${\gamma}_{6b}$
g - 2g₆ + g₄	${\gamma}_{6c}$

Source LaTeX | All tables | In the text

	1 Introduction
	2 Secular resonances in the Vesta family region
	3 Evolution in the z₂ secular resonance under the Yarkovsky effect
	4 Mechanisms of migration from the Vesta family to the z₂ secular resonance
	5 Discussions
	References