2002MNRAS.331.1053O

Query : 2002MNRAS.331.1053O

2002MNRAS.331.1053O - Mon. Not. R. Astron. Soc., 331, 1053-1064 (2002/April-3)

A non-linear theory of vertical resonances in accretion discs.

OGILVIE G.I.

Abstract (from CDS):

An important and widely neglected aspect of the interaction between an accretion disc and a massive companion with a coplanar orbit is the vertical component of the tidal force. As shown by Lubow, the response of the disc to vertical forcing is resonant at certain radii, at which a localized torque is exerted, and from which a compressive wave (p mode) may be emitted. Although these vertical resonances are weaker than the corresponding Lindblad resonances, the m =2 inner vertical resonance in a binary star is typically located within the tidal truncation radius of a circumstellar disc.

In this paper I develop a general theory of vertical resonances, allowing for non-linearity of the response, and dissipation by radiative damping and turbulent viscosity. The problem is reduced to a universal, non-linear ordinary differential equation with two real parameters. Solutions of the complex non-linear Airy equation are presented to illustrate the non-linear saturation of the resonance and the effects of dissipation. It is argued that the m =2 inner vertical resonance is unlikely to truncate the disc in cataclysmic variable stars, but contributes to angular momentum transport and produces a potentially observable non-axisymmetric structure.

Abstract Copyright: 2002 Blackwell Science Ltd

Journal keyword(s): accretion, accretion discs - hydrodynamics - waves - celestial mechanics - binaries: close

Simbad objects: 1

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Number of rows : 1

N	Identifier	Otype	ICRS (J2000) RA	ICRS (J2000) DEC	Mag U	Mag B	Mag V	Mag R	Mag I	Sp type	#ref 1850 - 2026	#notes
1	V* IP Peg	CV*	23 23 08.5362249504	+18 24 59.206884012						M2	395	0

Query : 2002MNRAS.331.1053O

Basic data :

V* IP Peg -- Cataclysmic Binary

CV* (2020MNRAS), V* (V*,AAVSO), * (WEB,Gaia), SB* (SBC9), PM* (2018yCat), NIR (2MASS), Opt (LAMOST), ev (ZTF)

23 23 08.5362249504 +18 24 59.206884012 (Optical) [ 0.0290 0.0229 90 ] A 2020yCat.1350....0G

23 20 38.6391258112 +18 08 32.516738770 [ 0.0290 0.0229 90 ]

095.3338874816037 -39.6768881367989 [ 0.0290 0.0229 90 ]

-61.849 -33.309 [0.040 0.028 90] A 2020yCat.1350....0G

7.093 [0.0377] A 2020yCat.1350....0G

M2 D ~

G 14.672627 [0.016719] C 2020yCat.1350....0G

J 12.601 [0.024] C 2003yCat.2246....0C

H 11.975 [0.022] C 2003yCat.2246....0C

K 11.721 [0.020] C 2003yCat.2246....0C

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*`SV SVS 2549`**	`SBC9 1442`	`WEB 20444`	`AAVSO 2318+17`
`LAMOST J232308.57+182459.8`	`TIC 243129676`	`ZTF17aabulaf`	`Gaia DR3 2824150286583562496`
`2MASS J23230854+1824593`	*`V IP Peg`**	`EQ 2320+181`	`Gaia DR2 2824150286583562496`

References (395 between 1850 and 2026) (Total 395)
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2MASS J23230854+1824593 V* IP Peg Gaia DR3 2824150286583562496 Gaia DR2 2824150286583562496

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