Minimize RESONANCE

RESONANCE (Radio Emissions from the Sun: ONline ANalytical Computer-aided Estimator)

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In 2021, scientists at the Skolkovo Institute of Science and Technology (Skoltech, located in Moscow, Russia) and their colleagues from the University of Graz & the Kanzelhöhe Observatory (Austria) and the ESA/ESOC (European Space Operations Centre) in Darmstadt, Germany, developed a method and software called RESONANCE to predict the solar radio flux activity for 1-24 months ahead. RESONANCE will serve to improve the specification of satellite orbits, reentry services, modeling of space debris evolution, and collision avoidance maneuvers. The research results were published in the Astrophysical Journal Supplement Series. 1) 2)

Since the launch of Sputnik, the Earth’s first artificial satellite, in 1957, more than 41,500 tons of manmade objects have been placed in orbit around the Sun, the Earth, and other planetary bodies. Since that time, the majority of objects, such as rocket bodies and large pieces of space debris, re-entered the Earth’s atmosphere in an uncontrolled way, posing a potential hazard to people and infrastructure. Predicting the re-entry date and time is a challenging task, as one needs to specify the density of the upper Earth atmosphere that strongly depends on solar activity which, in turn, is hard to predict. Earth atmosphere can become very heated due to solar activity which causes it to expand, and a satellite can decay in its orbit and fall back to the Earth due to the effect known as atmospheric drag. In addition, there is a lot of space debris, much of it very small; if a spacecraft unexpectedly changes its orbit and encounters even a small piece of debris, this would be equivalent to hitting a bomb because of the high speed.

Figure 1: Europe’s space freighter ATV (Automated Transfer Vehicle) Jules Verne burning up over an uninhabited area of the Pacific Ocean at the end of its mission (video credit: ESA)

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Figure 2: A piece of a re-entering space object found in Indonesia. The sphere measures about 50 cm in diameter and weighs 7.4 kg (image credit: ESA)

An international group of scientists led by Skoltech professor Tatiana Podladchikova developed a new method and software called RESONANCE which provides predictions of the solar radio flux at F10.7 and F30 cm with a lead time of 1 to 24 months. The F10.7 and F30 indices represent the flux density of solar radio emissions at a wavelength of 10.7 and 30 cm averaged over an hour and serve as a solar proxy of the ultraviolet solar emission which heats the Earth’s upper atmosphere. The method combines state-of-art physics-based models and advanced data assimilation methods, where the resulting F10.7 and F30 forecasts are used as solar input in the reentry prediction tool for further estimation of an object reentry time.

“We systematically evaluated the performance of RESONANCE in providing reentry predictions on past ESA reentry campaigns for 602 payloads and rocket bodies as well as 2,344 objects of space debris that reentered from 2006 to 2019 over the full 11-year solar cycle. The test results demonstrated that the predictions obtained by RESONANCE in general also lead to improvements in the forecasts of reentry epochs and can thus be recommended as a new operational service for reentry predictions and other space weather applications,” says lead author and Skoltech’s MSc graduate Elena Petrova who is currently pursuing her Ph.D. studies at the Centre for Mathematical Plasma Astrophysics, Catholic University of Leuven (KU Leuven).

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Figure 3: Frequency of reentered objects during 11-year solar cycle 24. Top: F10.7 cm radio flux data. Middle: Number of payloads and rocket bodies reentered. Bottom: Number of objects of space debris reentered (image credit: Petrova et al., 2021)

“The number of re-entered objects is closely related to the solar activity level: the majority of objects return during the maximum solar activity phase within the 11-year cycle. Interestingly, the space debris reentry time closely follows the evolution of the cycle, reacting immediately to changes in solar activity. At the same time, payloads and rocket bodies also show a large number of reentries during the declining phase of the cycle, which may be related to the time delay between solar activity and reentry for large objects”, says professor Astrid Veronig, a co-author of the study and director of Kanzelhöhe Observatory at the University of Graz.

“It is very important to monitor and predict solar activity for orbit prediction needs. For example, Skylab which was intended to perform a controlled re-entry in the 1970s dropped on Earth in an uncontrolled way due to inaccurate calculations of the atmospheric drag due to solar activity. Another example is the most recent launch of the Chinese Long March 5B rocket on May 9, 2021: the remnants from its second stage that carried China’s first space station module made an uncontrolled reentry and landed in the Indian Ocean. Thus the development of robust and reliable space weather operational services bringing together the forefront of research with engineering applications is of prime importance for the protection of space and ground-based infrastructures and advancement of space exploration. And whatever storms may rage, we wish everyone a good weather in space,” says Tatiana Podladchikova, assistant professor at the Skoltech Space Center (SSC) and a research co-author.

Currently, the team is preparing RESONANCE for operational use as part of a new space weather service for continuous prediction of solar radio flux activity.



1) ”Scientists invent a method for predicting solar radio flux for two years ahead,” Skoltech, 12 May 2021, URL: https://www.skoltech.ru/en/2021/05/
scientists-invent-a-method-for-predicting-solar-radio-flux-for-two-years-ahead/?alter=1

2) Elena Petrova, Tatiana Podladchikova, Astrid M. Veronig, Stijn Lemmens, Benjamin Bastida Virgili, and Tim Flohre, ”Medium-term Predictions of F10.7 and F30 cm Solar Radio Flux with the Adaptive Kalman Filter,” The Astrophysical Journal Supplement Series, Volume 254, Number 1, Published: 27 April 2021, https://doi.org/10.3847/1538-4365/abef6d


The information compiled and edited in this article was provided by Herbert J. Kramer from his documentation of: ”Observation of the Earth and Its Environment: Survey of Missions and Sensors” (Springer Verlag) as well as many other sources after the publication of the 4th edition in 2002. - Comments and corrections to this article are always welcome for further updates (herb.kramer@gmx.net).

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