Analysis of the Petersen Diagram of Double-Mode High-Amplitude {\delta} Scuti Stars

TL;DR

This paper constructs a Petersen diagram for double-mode high-amplitude delta Scuti stars and discovers a novel linear relation between period ratio and the fundamental period duration.

Contribution

It introduces the first Petersen diagram for these stars and identifies a new linear relation between period ratio and fundamental period duration.

Findings

Identified a linear relation between P1/P0 and P0.

Created the first Petersen diagram for these stars.

Provided new insights into period ratios in delta Scuti stars.

Abstract

I created the Petersen diagram relative to all the Double Mode High Amplitude {\delta} Scuti stars listed in the AAVSO's International Variable Star Index up to date December 29, 2015. For the first time I noticed that the ratio between the two periods P1/P0 seems in evident linear relation with the duration of the period P0, a finding never explicitly described in literature regarding this topic.