scholarly journals Extended analytical formulae for the perturbed Keplerian motion under low-thrust acceleration and orbital perturbations

2021 ◽  
Vol 133 (3) ◽  
Author(s):  
Marilena Di Carlo ◽  
Simão da Graça Marto ◽  
Massimiliano Vasile
Keyword(s):  
Gravitational Perturbation ◽  
Low Thrust ◽  
Orbital Elements ◽  
Third Body ◽  
The Third ◽  
Orbital Perturbations ◽  
Analytical Formulae ◽  
Numerical Orbit ◽  
Body Potential

AbstractThis paper presents a collection of analytical formulae that can be used in the long-term propagation of the motion of a spacecraft subject to low-thrust acceleration and orbital perturbations. The paper considers accelerations due to: a low-thrust profile following an inverse square law, gravity perturbations due to the central body gravity field and the third-body gravitational perturbation. The analytical formulae are expressed in terms of non-singular equinoctial elements. The formulae for the third-body gravitational perturbation have been obtained starting from equations for the third-body potential already available in the literature. However, the final analytical formulae for the variation of the equinoctial orbital elements are a novel derivation. The results are validated, for different orbital regimes, using high-precision numerical orbit propagators.

scholarly journals REVISITING FS AURIGAE AND ITS TRIPLE CATACLYSMIC VARIABLE SYSTEM HYPOTHESIS

2020 ◽  
Vol 56 (1) ◽  
pp. 19-28
Author(s):  
Carlos E. Chavez ◽  
Andres Aviles ◽  
Nikolaos Georgakarakos ◽  
Cesar Ramos ◽  
Hector Aceves ◽  
...  
Keyword(s):  
Transfer Rate ◽  
Mass Transfer Rate ◽  
Cataclysmic Variable ◽  
Third Body ◽  
The Third ◽  
The Past ◽  
New Period ◽  
The New Period ◽  
Alternative Scenarios

A very long term variability (VLPP), with period of 875 days, was observed in the long-term light curve of FS Aurigae (FS Aur) in 2011. This periodicity was calculated over 6 cycles. We re-examined the periodicity with new observations over the past 5 yrs. A total of 18 years of observations confirm the hypothesis of a third body perturbing in a secular way the cataclysmic variable (CV). Improvements to the model such as eccentric and inclined orbits for the third body and a binary post-Newtonian correction are considered. We confirm the VLPP of FS Aur and find the new period of 857 ± 78 days. The secular perturbations are most efficient when the mass of the third body is M₃≈ 29MJ, much less than the 50MJ reported in 2011. We estimate the effect of the third body on the mass transfer rate and on the brightness of the system. We consider alternative scenarios for the VLPP. New data and analysis support the hypothesis that FS Aur is a CV in a triple system.

scholarly journals Searching Less Perturbed Circular Orbits for a Spacecraft Travelling around Europa

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
J. P. S. Carvalho ◽  
R. Vilhena de Moraes ◽  
A. F. B. A. Prado
Keyword(s):  
Gravitational Potential ◽  
Dynamical Model ◽  
Orbital Elements ◽  
Third Body ◽  
Circular Orbits ◽  
Natural Satellite ◽  
Frozen Orbits ◽  
The Third ◽  
Numerical Studies ◽  
Space Activities

Space missions to visit the natural satellite of Jupiter, Europa, constitute an important topic in space activities today, because missions to this moon are under study now. Several considerations have to be made for these missions. The present paper searches for less perturbed circular orbits around Europa. This search is made based on the total effects of the perturbing forces over the time, evaluated by the integral of those forces over the time. This value depends on the dynamical model and on the orbit of the spacecraft. The perturbing forces considered are the third-body perturbation that comes from Jupiter and theJ2,J3, andC22terms of the gravitational potential of Europa. Several numerical studies are performed and the results show the locations of the less perturbed orbits. Using those results, it is possible to find near-circular frozen orbits with smaller amplitudes of variations of the orbital elements.

scholarly journals Evidence of Angular Momentum Loss in the Eclipsing Binary VW Cephei

1998 ◽  
Vol 11 (1) ◽  
pp. 350-350
Author(s):  
M.J. Devita ◽  
D.H. Bradstreet ◽  
E.F. Guinan ◽  
Z. Glownia
Keyword(s):  
Angular Momentum ◽  
Third Body ◽  
Orbital Parameters ◽  
The Third ◽  
The Past ◽  
Momentum Loss ◽  
Steady Decrease ◽  
Short Period ◽  
Angular Momentum Loss

VW Cep is one of the brightest and longest observed short-period (P = 6.67 hours) W UMa type binaries. It consists of a G5V and K0V components in contact with their Roche surfaces. We investigated complex period changes based upon eclipse timings from the past 70 years. In addition to the well-known 30 year light time effect due to the presence of a third star in the system, we find evidence for a long term decrease in the orbital period of dP/dt = −0.02 sec/yr. This decrease in period could arise from angular momentum loss from the binary or mass exchange between components. From these timings we have refined the properties of the tertiary component and redetermined its mass and orbital parameters. After correcting the O-C’s for the third body and the steady decrease in Keplerian period, we uncovered small systematic deviations in the residual O-C’s. We are studying these second order period variations, possibly arising from mass loss in winds and/or mass flow between components, to determine if they correlate with known cycles of spot and surface activity.

Laura’s Students One and Seven Years Later

2018 ◽  
Author(s):  
Marilyn Watson
Keyword(s):  
School District ◽  
Life Skills ◽  
Adopted Child ◽  
The Third

In the third year, Laura took a leave through November to help settle her newly adopted child. Her students missed her and, when she returned, some seemed to have reverted to their original untrusting selves. Soon, their trust in Laura and in themselves was restored. Would that trust remain? Seven years later, I interviewed 9 of the 14 students still in the school district. All remembered Laura and the class fondly. Eight had detailed memories of their interactions with Laura, and the life skills and attitudes they learned in her class. Of the six students who were judged insecurely attached when they entered Laura’s class, four appeared successful and confident and two were currently failing most of their courses. Possible causes for the long-term success of some students and failure of others are discussed.

GA: Armani’s Giorgio Armani

2018 ◽  
Author(s):  
Paul Brooker ◽  
Margaret Hayward
Keyword(s):  
Final Section ◽  
The Body ◽  
Body Shop ◽  
The Third ◽  
Haute Couture ◽  
Fashion Designer ◽  
The Body Shop ◽  
The Uk ◽  
Career Woman

The Armani high-fashion example illustrates the importance of adaptive rational methods in his founding and developing of an iconic high-fashion firm. Armani adapted stylistically to fashion’s new times in the 1970–80s by creating a new style catering for the career woman. His stylistic adaptation is compared with that of another famous Italian fashion designer, Versace, who instead modernized haute couture fashion and created a succession of glamourous styles. Both leaders exploited the same opportunity but in different ways. The third section compares these leaders’ legacies in the 1990s–2000s and assesses from a long-term perspective how capably they had used adaptive rational methods. The final section shifts the focus from fashion to the cosmetics industry and from Italy to the UK. Anita Roddick used adaptive rational methods to establish The Body Shop corporation in the 1970s–80s. However, she then abandoned rational methods with dire results for her corporation in the 1990s.

scholarly journals Cost-effectiveness of a hybrid emergency room system for severe trauma: a health technology assessment from the perspective of the third-party payer in Japan

2021 ◽  
Vol 16 (1) ◽  
Author(s):  
Takahiro Kinoshita ◽  
Kensuke Moriwaki ◽  
Nao Hanaki ◽  
Tetsuhisa Kitamura ◽  
Kazuma Yamakawa ◽  
...  
Keyword(s):  
Cost Effectiveness ◽  
Emergency Room ◽  
Healthcare Costs ◽  
Cost Effective ◽  
Severe Trauma ◽  
Third Party ◽  
Trauma Patients ◽  
Short Term ◽  
The Third

Abstract Background Hybrid emergency room (ER) systems, consisting of an angiography-computed tomography (CT) machine in a trauma resuscitation room, are reported to be effective for reducing death from exsanguination in trauma patients. We aimed to investigate the cost-effectiveness of a hybrid ER system in severe trauma patients without severe traumatic brain injury (TBI). Methods We conducted a cost-utility analysis comparing the hybrid ER system to the conventional ER system from the perspective of the third-party healthcare payer in Japan. A short-term decision tree and a long-term Markov model using a lifetime time horizon were constructed to estimate quality-adjusted life years (QALYs) and associated lifetime healthcare costs. Short-term mortality and healthcare costs were derived from medical records and claims data in a tertiary care hospital with a hybrid ER. Long-term mortality and utilities were extrapolated from the literature. The willingness-to-pay threshold was set at $47,619 per QALY gained and the discount rate was 2%. Deterministic and probabilistic sensitivity analyses were conducted. Results The hybrid ER system was associated with a gain of 1.03 QALYs and an increment of $33,591 lifetime costs compared to the conventional ER system, resulting in an ICER of $32,522 per QALY gained. The ICER was lower than the willingness-to-pay threshold if the odds ratio of 28-day mortality was < 0.66. Probabilistic sensitivity analysis indicated that the hybrid ER system was cost-effective with a 79.3% probability. Conclusion The present study suggested that the hybrid ER system is a likely cost-effective strategy for treating severe trauma patients without severe TBI.

scholarly journals Dominance relationships and coalitionary aggression against conspecifics in female carrion crows

2019 ◽  
Vol 9 (1) ◽  
Author(s):  
Benedikt Holtmann ◽  
Julia Buskas ◽  
Matthew Steele ◽  
Kristaps Solokovskis ◽  
Jochen B. W. Wolf
Keyword(s):  
Social Interactions ◽  
Social Environment ◽  
Social Rank ◽  
Social Benefits ◽  
Same Sex ◽  
The Third ◽  
Dominance Relationships ◽  
Dominant Individual ◽  
The Individual

Abstract Cooperation is a prevailing feature of many animal systems. Coalitionary aggression, where a group of individuals engages in coordinated behaviour to the detriment of conspecific targets, is a form of cooperation involving complex social interactions. To date, evidence has been dominated by studies in humans and other primates with a clear bias towards studies of male-male coalitions. We here characterize coalitionary aggression behaviour in a group of female carrion crows consisting of recruitment, coordinated chase, and attack. The individual of highest social rank liaised with the second most dominant individual to engage in coordinated chase and attack of a lower ranked crow on several occasions. Despite active intervention by the third most highly ranked individual opposing the offenders, the attack finally resulted in the death of the victim. All individuals were unrelated, of the same sex, and naïve to the behaviour excluding kinship, reproduction, and social learning as possible drivers. Instead, the coalition may reflect a strategy of the dominant individual to secure long-term social benefits. Overall, the study provides evidence that members of the crow family engage in coordinated alliances directed against conspecifics as a possible means to manipulate their social environment.

scholarly journals Accumulation of mutations in sexual and asexual populations

1987 ◽  
Vol 49 (2) ◽  
pp. 135-146 ◽  
Author(s):  
Pekka Pamilo ◽  
Masatoshi Nei ◽  
Wen-Hsiung Li
Keyword(s):  
Weak Selection ◽  
Population Variance ◽  
Asexual Population ◽  
Term Evolution ◽  
A Genome ◽  
Analytical Formulae ◽  
The Mean ◽  
Asexual Populations ◽  
Mutant Genes

SummaryThe accumulation of beneficial and harmful mutations in a genome is studied by using analytical methods as well as computer simulation for different modes of reproduction. The modes of reproduction examined are biparental (bisexual, hermaphroditic), uniparental (selfing, automictic, asexual) and mixed (partial selfing, mixture of hermaphroditism and parthenogenesis). It is shown that the rates of accumulation of both beneficial and harmful mutations with weak selection depend on the within-population variance of the number of mutant genes per genome. Analytical formulae for this variance are derived for neutral mutant genes for hermaphroditic, selfing and asexual populations; the neutral variance is largest in a selfing population and smallest in an asexual population. Directional selection reduces the population variance in most cases, whereas recombination partially restores the reduced variance. Therefore, biparental organisms accumulate beneficial mutations at the highest rate and harmful mutations at the lowest rate. Selfing organisms are intermediate between biparental and asexual organisms. Even a limited amount of outcrossing in largely selfing and parthenogenetic organisms markedly affects the accumulation rates. The accumulation of mutations is likely to affect the mean population fitness only in long-term evolution.

Sign in / Sign up

Export Citation Format

Share Document