Auto-correlation functions of astrophysical processes, and their relation to Gaussian processes - Application to radial velocities of different starspot configurations

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Table 1

Number of spots N created in every 100-day time interval [t₀, t₀ + 100] to mimic a long-term magnetic cycle of 1000 days.

Time interval t₀ [d]		0	100	200	300	400	500	600	700	800	900
N	`ONE`, `TWO`, `RAN`	40	36	32	28	24	20	24	28	32	36
N	`POL`	4	4	3	3	2	2	2	3	3	4
colat. North [deg]	`ONE`, `TWO`	125	119	113	107	101	95	101	107	113	119
colat. South [deg]	`ONE`, `TWO`	55	61	67	73	79	85	79	73	67	61

Notes. We also show the varying mean colatitude of the spots in a northern and in a southern hemisphere for the active longitude spot models, thereby resembling the butterfly diagram.

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