Exoplanet predictions based on the generalized Titius–Bode relation

  title={Exoplanet predictions based on the generalized Titius–Bode relation},
  author={Timothy Bovaird and C. Lineweaver},
  journal={Monthly Notices of the Royal Astronomical Society},
We evaluate the extent to which newly detected exoplanetary systems containing at least four planets adhere to a generalized Titius–Bode (TB) relation. We find that the majority of exoplanet systems in our sample adhere to the TB relation to a greater extent than the Solar system does, particularly those detected by the Kepler mission. We use a generalized TB relation to make a list of predictions for the existence of 141 additional exoplanets in 68 multiple-exoplanet systems: 73 candidates… 

Figures and Tables from this paper

Using the inclinations of Kepler systems to prioritize new Titius-Bode-based exoplanet predictions
We analyse a sample of multiple-exoplanet systems which contain at least three transiting planets detected by the Kepler mission (‘Kepler multiples’). We use a generalized Titius– Bode relation to
Testing the Titius–Bode law predictions for Kepler multiplanet systems
We use three and half years of Kepler Long Cadence data to search for the 97 predicted planets of Bovaird & Lineweaver (2013) in 56 of the multi-planet systems, based on a general Titius-Bode
The reliability of the Titius–Bode relation and its implications for the search for exoplanets
The major semiaxes of the planets in our Solar System obey a simple geometric progression known as the Titius-Bode Relation (TBR), whose physical origin remains disputed. It has been shown that the
Generalized Titius-Bode Law and How to Statistically Verify it
The Titius-Bode law has been historically successful in predicting the location of planets in the solar system. While the majority believes it is merely a coincidence, we too agree with that;
Exoplanet Predictions Based on Harmonic Orbit Resonances
The current exoplanet database includes 5454 confirmed and candidate planets observed with the Kepler mission. We find 932 planet pairs from which we extract distance and orbital period ratios. While
Case Studies of Exocomets in the System of HD 10180
The aim of our study is to investigate the dynamics of possible comets in the HD 10180 system. This investigation is motivated by the discovery of exocomets in various systems, especially $\beta$
Can planets exist in the habitable zone of 55 Cancri?
The aim of our study is to explore the possible existence of Earth-mass planets in the habitable zone of 55~Cancri, an effort pursued based on detailed orbital stability simulations. This star is
A Prediction of an Additional Planet of the Extrasolar Planetary System Kepler-62 Based on the Planetary Distances' Long-Range Order
Recently, the discovery of the extrasolar planetary system Kepler-62 comprising five planets was reported. The present paper explores whether (i) the sequence of semimajor axis values of the planets
Gravitational quantization of exoplanet orbits in HD 40307, $\mu$ Ara, Kepler-26, Kepler-62, and Kepler-275: Comparing predicted orbits
According to the so-called "global polytropic model", hydrostatic equilibrium for a planetary system leads to the Lane-Emden differential equation. Solving this equation in the complex plane, we
The Secret of the Titius-Bode Law: A New Theory on How Our Planetary System Came Into Existence
Our planetary system still has several unsolved riddles. One of them is the Titius-Bode law. With the aid of this law, it is easy to find the distances of planets from the sun. For many astronomers,


The exo-planetary system of 55 Cancri and the Titius-Bode Law
The recent discovery of a fth planet bound to 55 Cancri (Fischer et. al 2007) motivated us to investigate if this exo-planetary system ts some form of the Titius-Bode (TB) law. We found that a simple
Application of the Titius-Bode Rule to the 55 Cancri System : Tentative Prediction of a Possibly Habitable Planet
Following the notion that the Titius-Bode rule (TBR) may also be applicable to some extra-solar planetary systems, although this number could be relatively small, it is applied to 55 Cancri, which is
Titius-Bode's Relation and Distribution of Exoplanets
The distance distribution in our planetary system has been a controversial matter. Two kinds of important issues on Titius-Bode’s relation have been discussed up to now: one is if there is a simple
The Exoplanet Orbit Database
We present a database of well-determined orbital parameters of exoplanets, and their host stars’ properties. This database comprises spectroscopic orbital elements measured for 427 planets orbiting
Predicting Planets in Known Extrasolar Planetary Systems. II. Testing for Saturn Mass Planets
Recent results have shown that many of the known extrasolar planetary systems contain regions that are stable for massless test particles. We examine the possibility that Saturn mass planets exist in
RESEARCH PAPER: The dynamical architecture and habitable zones of the quintuplet planetary system 55 Cancri
We perform numerical simulations to study the secular orbital evolution and dynamical structure of the quintuplet planetary system 55 Cancri with the self-consistent orbital solutions by Fischer and
TITIUS-BODE'S Relation and 55 Cancri
Two kinds of important issues on Titius-Bode`s relation have been discussed up to now: one is if there is a simple mathematical relation between distances of natural bodies orbiting a central body,
The significance of the Titius–Bode law and the peculiar location of the Earth's orbit
Using the Lynch method, we continue the discussion on the statistical significance of agreement between planetary distributions and a power law. The Lynch method determines the probability that a
Predicting Planets in Kepler Multi-Planet Systems
We investigate whether any multi-planet systems among Kepler candidates (2011 February release) can harbor additional terrestrial-mass planets or smaller bodies. We apply the "packed planetary
Can GJ 876 host four planets in resonance?
Prior to the detection of its outermost Uranus-mass object, it had been suggested that GJ 876 could host an Earth-sized planet in a 15-day orbit. Observation, however, did not support this idea, but