2000A&A...361..379N


Query : 2000A&A...361..379N

2000A&A...361..379N - Astronomy and Astrophysics, volume 361, 379-387 (2000/9-1)

Scale-relativity and quantization of exoplanet orbital semi-major axes.

NOTTALE L., SCHUMACHER G. and LEFEVRE E.T.

Abstract (from CDS):

In a recent study (Nottale, 1996A&A...315L...9N), it was found that the distribution of the semi-major axes of the firstly discovered exoplanets was clustered around quantized values according to the law a/GM=(n/w0)2, in the same manner and in terms of the same constant w0=144km/s as in our own inner Solar System. The ratio αg=w0/c actually stands out as a gravitational coupling constant. The number of exoplanets has now increased fivefold since this first study, including a full system of three planets around Ups And. In the present paper, we apply the same analysis to the new exoplanets and we find that their distribution agrees with this structuration law in a statistically significant way (probability ≃10–4). Such a n2 law is predicted by the scale-relativity approach to planetary system formation, in which the evolution of planetesimals is described in terms of a generalized Schroedinger equation. In particular, one was able to predict from this model (Nottale, 1993, Fractal Space-Time and Microphysics: Towards a Theory of Scale Relativity (World Scientific)) the occurrence of preferential distances of planets at ≃0.043AU/M and ≃0.17AU/M from their parent stars. The observational data supports this theoretical prediction, since the semimajor axes of ≃50% of the presently known exoplanets cluster around these values (51 Peg-type planets).

Abstract Copyright:

Journal keyword(s): relativity - gravitation - solar system - planets and satellites - planetary systems

Simbad objects: 75

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Number of rows : 75
N Identifier Otype ICRS (J2000)
RA
ICRS (J2000)
DEC
Mag U Mag B Mag V Mag R Mag I Sp type #ref
1850 - 2022
#notes
1 HD 1237 PM* 00 16 12.6780107483 -79 51 04.244506480 7.692 7.335 6.578     G8V 214 1
2 HD 1237b Pl 00 16 12.6791488703 -79 51 04.244738563           ~ 55 1
3 * ups And PM* 01 36 47.8415443907 +41 24 19.651368029 4.70 4.64 4.10 3.64 3.35 F9V 917 1
4 * ups And c Pl 01 36 47.84216 +41 24 19.6443           ~ 149 1
5 * ups And b Pl 01 36 47.84216 +41 24 19.6443           ~ 260 1
6 * ups And d Pl 01 36 47.84216 +41 24 19.6443           ~ 155 1
7 * 109 Psc b Pl 01 44 55.8251018821 +20 04 59.336256238           ~ 49 1
8 * 109 Psc PM* 01 44 55.8255136824 +20 04 59.336892804   6.984 6.279     G3Va 264 2
9 HD 12661 PM* 02 04 34.2881404104 +25 24 51.513637932   8.16   7.0   K0V 244 1
10 HD 12661b Pl 02 04 34.2883519451 +25 24 51.514208219           ~ 64 1
11 HD 13445 PM* 02 10 25.9181700303 -50 49 25.465181208   6.945 6.117     K1.5V 430 1
12 HD 13445b Pl 02 10 25.9190575041 -50 49 25.467227759           ~ 94 1
13 * 79 Cet PM* 02 35 19.9291748518 -03 33 38.172943076   7.49 6.78     G2V 279 1
14 * 79 Cet b Pl 02 35 19.9292617962 -03 33 38.170691640           ~ 50 1
15 * iot Hor b Pl 02 42 33.4664838826 -50 48 01.056222150           ~ 43 1
16 * iot Hor PM* 02 42 33.4666679022 -50 48 01.055138166   5.97 5.40     F8V 365 1
17 HD 283750 BY* 04 36 48.2421502608 +27 07 55.888214520   9.354   7.4   K2.5Ve 264 2
18 HD 37124 PM* 05 37 02.4866159419 +20 43 50.832948117   8.35   7.2   G4IV-V 280 2
19 HD 37124b Pl 05 37 02.4866790656 +20 43 50.834619370           ~ 65 1
20 HD 46375 PM* 06 33 12.6224391648 +05 27 46.528531452   8.70 7.84     G9V 220 2
21 HD 46375b Pl 06 33 12.6225933827 +05 27 46.527797938           ~ 64 1
22 HD 75289 PM* 08 47 40.3893739728 -41 44 12.455319264 7.04 6.94 6.36     F9VFe+0.3 262 1
23 HD 75289b Pl 08 47 40.3895634256 -41 44 12.456269569           ~ 83 1
24 * rho01 Cnc PM* 08 52 35.8111044043 +28 19 50.954994470 7.45 6.82   5.4   K0IV-V 1036 1
25 * rho01 Cnc b Pl 08 52 35.8113282132 +28 19 50.956901366           ~ 242 1
26 HD 89744 PM* 10 22 10.5618854376 +41 13 46.309698444       5.4   F7V 315 1
27 HD 89744b Pl 10 22 10.5623067078 +41 13 46.308754730           ~ 50 1
28 * 47 UMa PM* 10 59 27.9727514012 +40 25 48.920572724   5.66   4.7   G1-VFe-0.5 746 1
29 * 47 UMa b Pl 10 59 27.9738644892 +40 25 48.922388918           ~ 151 1
30 * ksi UMa Bb BD? 11 18 10.8360115405 +31 31 44.821690914           ~ 14 0
31 * ksi UMa B SB* 11 18 10.8360115405 +31 31 44.821690914   5.41 4.77 4.4   G2V 334 1
32 PSR B1257+12 Psr 13 00 03.1075 +12 40 55.155           ~ 495 1
33 NAME PSR B1257+12d Pl 13 00 03.1075 +12 40 55.155           ~ 34 2
34 NAME PSR B1257+12b Pl 13 00 03.1075 +12 40 55.155           ~ 33 2
35 NAME PSR B1257+12c Pl 13 00 03.1075 +12 40 55.155           ~ 36 2
36 HD 114762 SB* 13 12 19.7410686234 +17 31 01.630334317 7.78         F9VgF8mF4+M6?V 527 1
37 HD 114762b Pl 13 12 19.7467346230 +17 31 01.611425890           ~ 125 1
38 * 70 Vir b Pl 13 28 25.8081883620 +13 46 43.642951116           ~ 106 1
39 * 70 Vir PM* 13 28 25.8085908881 +13 46 43.638308807 5.930 5.680 4.970 4.37 3.98 G4Va 694 1
40 * tau Boo Ro* 13 47 15.7381720026 +17 27 24.809555600 5.02 4.98 4.49 4.09 3.85 F7IV-V 938 1
41 * tau Boo b Pl 13 47 15.74340 +17 27 24.8552           ~ 258 1
42 HD 130322 PM* 14 47 32.7262287384 -00 16 53.307811560   8.82 8.04     K0V 250 1
43 HD 130322b Pl 14 47 32.7265637197 -00 16 53.305928889           ~ 57 1
44 * 23 Lib PM* 15 13 28.6669233518 -25 18 33.653388418   7.168 6.46 6.43   G6IV-V 279 1
45 * 23 Lib b Pl 15 13 28.6671093171 -25 18 33.654699099           ~ 46 1
46 * rho CrB PM* 16 01 02.6604891411 +33 18 12.639472357   6.01   5.0   G0+VaFe-1 609 1
47 * rho CrB b Pl 16 01 02.6608052290 +33 18 12.642245533           ~ 71 1
48 * 14 Her b Pl 16 10 24.3152754550 +43 49 03.498734567           ~ 73 1
49 * 14 Her PM* 16 10 24.3156759007 +43 49 03.507406809   7.57   6.1   K0V 429 1
50 HD 168443b Pl 18 20 03.9331764016 -09 35 44.609316076           ~ 91 1
51 HD 168443 PM* 18 20 03.9332862096 -09 35 44.614653900   7.62 6.92     G6V 294 1
52 HD 177830 ** 19 05 20.7731776776 +25 55 14.372511888   8.266 7.177     K0+M4V 181 1
53 HD 177830b Pl 19 05 20.7732754377 +25 55 14.370345579           ~ 46 1
54 * 16 Cyg A ** 19 41 48.9534996168 +50 31 30.219536784 6.79 6.59 5.95 5.50 5.17 G1.5Vb 713 1
55 * 16 Cyg Bb Pl 19 41 51.9731830550 +50 31 03.086127222           ~ 122 1
56 HD 187123 PM* 19 46 58.1122487784 +34 25 10.281404460       7.4   G2V 231 1
57 HD 187123b Pl 19 46 58.1122608389 +34 25 10.279867125           ~ 81 1
58 HD 192263b Pl 20 13 59.8455148268 -00 52 00.771665295           ~ 56 1
59 HD 192263 BY* 20 13 59.8455790536 -00 52 00.769626768 9.447 8.724 7.767 7.231 6.771 K1/2V 225 1
60 HD 195019b Pl 20 28 18.6366531368 +18 46 10.179936391           ~ 64 1
61 HD 195019 PM* 20 28 18.6366815627 +18 46 10.180434472 7.730     6.5   G1V 241 1
62 * phi02 Pav PM* 20 40 02.6374808954 -60 32 56.018592211   5.63 5.121     G0VFe-0.8CH-0.5 168 1
63 HD 196378b err 20 40 02.6377 -60 32 56.012           ~ 4 1
64 HD 209458 V* 22 03 10.7727465312 +18 53 03.549393384   8.21 7.63     F9V 1042 1
65 HD 209458b Pl 22 03 10.7729598762 +18 53 03.548248479           ~ 1665 1
66 HD 210277b Pl 22 09 29.8657193934 -07 32 55.163014863           ~ 48 1
67 HD 210277 PM* 22 09 29.8657847411 -07 32 55.162082226   8.85 8.57 7.36   G8V 315 1
68 BD-15 6290b Pl 22 53 16.7323107416 -14 15 49.303409936           ~ 230 1
69 BD-15 6290 BY* 22 53 16.7325836486 -14 15 49.304052185 12.928 11.749 10.192 9.013 7.462 M3.5V 922 1
70 * 51 Peg b Pl 22 57 27.9804167474 +20 46 07.782240714           ~ 588 1
71 * 51 Peg PM* 22 57 27.9804852576 +20 46 07.797040104 6.39 6.16 5.46 4.97 4.61 G2IV 1115 1
72 HD 217107 ** 22 58 15.5408995872 -02 23 43.383234768   6.919 6.163     G8IV/V 347 1
73 HD 217107b Pl 22 58 15.5411942071 -02 23 43.387117210           ~ 86 1
74 HD 222582b Pl 23 41 51.5299950324 -05 59 08.731514665           ~ 48 1
75 HD 222582 PM* 23 41 51.5300932008 -05 59 08.729137104   8.34 7.69     G5V 216 2

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2022.05.20-20:06:36

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