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Potansiyel İlave Cisimlere Sahip Çift Yıldız Sistemi UZ Lyr ve Z Dra'nın Dinamik Kararlılık Analizi

Dynamical Stability Analysis of UZ Lyr and Z Dra Binary Systems with Potential Additional Bodies

Hüseyin Er(Atatürk Üniversitesi)0000-0003-1339-3045
Muhammet Emir Kenger(ATATÜRK ÜNİVERSİTESİ)0000-0002-2847-8124
Aykut Özdönmez(ATATÜRK ÜNİVERSİTESİ)0000-0003-1399-5804
Murat Tekkeşinoğlu(ATATÜRK ÜNİVERSİTESİ)0009-0003-2863-5577
Sayfa
1711–1726
Yayın Tarihi
2025-09-16
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UZ Lyr için elde edilen sonuçlar, sistemin yaklaşık 104 yıl sonra dinamik olarak kararsız hale geldiğini ve MEGNO kararlılık haritasının gösterdiği gibi kaotik bir davranışa girdiğini göstermektedir.

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Amaç & Hipotez:Bu çalışmada, REBOUND paketi ile N-cisim simülasyonları kullanarak UZ Lyr ve Z Dra sistemlerinin yörünge kararlılığını araştırıldı.
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Temel Bulgular & Veri:UZ Lyr için elde edilen sonuçlar, sistemin yaklaşık 104 yıl sonra dinamik olarak kararsız hale geldiğini ve MEGNO kararlılık haritasının gösterdiği gibi kaotik bir davranışa girdiğini göstermektedir.
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Sonuç & Katkı:Bu çalışma, ikili sistemlerde ek cisimlerin potansiyel varlığını değerlendirirken uzun vadeli dinamik analizin önemini vurgulamaktadır.
🔬Tür:Uygulamalı Anket & Alan Araştırması
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:örten çift yıldız sistemi · yörünge kararlılık · yörünge dönem değişimi

Özet

Bu çalışmada, REBOUND paketi ile N-cisim simülasyonları kullanarak UZ Lyr ve Z Dra sistemlerinin yörünge kararlılığını araştırıldı. Özellikle, Mean Exponential Growth Factor of Nearby Orbits (MEGNO) ve Wisdom-Holman Symplectic Integrator (WHFast) kullanılarak, ilave gezegensel cisimlere ev sahipliği yapabilecek bu çift yıldız sistemlerinin dinamik kararlılığı analiz edildi. UZ Lyr için elde edilen sonuçlar, sistemin yaklaşık 104 yıl sonra dinamik olarak kararsız hale geldiğini ve MEGNO kararlılık haritasının gösterdiği gibi kaotik bir davranışa girdiğini göstermektedir. Ancak daha kısa zaman ölçeklerinde sistem yarı-kararlı görünmektedir. Sonuçlar, kısa vadeli simülasyonlara dayanarak uzun vadeli yörünge kararlılığını tahmin etmenin doğasında var olan zorlukları ortaya koymaktadır. Benzer şekilde, Z Dra sistemi için, önceki çalışmalarda önerilen dört model incelendi. Simülasyonlarımız, tek ışık zaman etkisi (LTT) modellerin kararlı kalırken, iki LTT'li modellerin hem WHFast hem de MEGNO analizleri tarafından doğrulandığı üzere kısa zaman ölçeklerinde belirgin bir kararsızlık sergilediğini göstermektedir. Sonuçlar, ilave cisimlerin gözlemlenen zamanlama değişimlerine daha iyi bir ampirik uyum sağlayabileceğini, ancak bu tür konfigürasyonların genellikle dinamik olarak kararsız olduğunu göstermektedir. Bu çalışma, ikili sistemlerde ek cisimlerin potansiyel varlığını değerlendirirken uzun vadeli dinamik analizin önemini vurgulamaktadır.

Abstract

In this study, we investigate the orbital stability of the UZ Lyr and Z Dra systems using N-body simulations with the REBOUND package. Specifically, we used the Mean Exponential Growth Factor of Nearby Orbits (MEGNO) and the Wisdom-Holman Symplectic Integrator (WHFast) to analyze the dynamical stability of these binary star systems, which may host additional planetary bodies. The results for UZ Lyr show that the system becomes dynamically unstable after about 104 years, entering a chaotic regime as indicated by the MEGNO stability map. On shorter timescales, however, the system appears to be quasi-stable. The results reveal the inherent difficulties in forecasting long-term orbital stability based on short-term simulations. Similarly, for the Z Dra system, we investigate four proposed models from previous studies. Our simulations show that while single light travel time (LTT) effect models remain stable, models with two LTTs exhibit pronounced instability on short timescales, as confirmed by both WHFast and MEGNO analyses. The results suggest that while additional bodies may provide a better empirical fit to observed timing variations, such configurations are often dynamically unstable. This study highlights the importance of long-term dynamical analysis when evaluating the potential presence of additional objects in binary systems.

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Bu Makaleye Atıf Yap

Er, H., Kenger, M. E., Özdönmez, A., Tekkeşinoğlu, M. (2025). Potansiyel İlave Cisimlere Sahip Çift Yıldız Sistemi UZ Lyr ve Z Dra'nın Dinamik Kararlılık Analizi. Osmaniye Korkut Ata Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 8 Sayı: 4, 1711–1726. https://doi.org/10.47495/okufbed.1598674

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