Her current work focuses on the pattern of magnetic fields in the Sun's atmosphere, which sporadically erupt to form a coronal mass ejection; how these relate to geomagnetic activity and what this means for those living on the Earth.

[2] From 2006 to 2012, she was a member of the Royal Society's Education Committee and was part of their State of the Nation reports Working Group during 2007–2009.

[11] The aim of the mission is to perform close-up, high-resolution studies of the Sun for a better understanding of its behaviour, heliosphere, solar winds and coronal magnetic field.

[12] Green regularly appears on television and radio, most notably The Sky at Night, Stargazing Live, Stardate, Horizon, Xchange and The One Show.

Episodes include "Stardate: Mission To Titan"[14] which she co-presented with Adam Hart-Davis,[15] covering the European Space Agency successfully landing the Huygens probe on Saturn's largest moon, Titan,[15] and "Stardate: Deep Impact"[16] which she co-presented with Brian Cox, covering NASA successfully colliding a probe into the side of comet Tempel 1 in an effort to learn more about the origins of the Solar System.

The programme explained how emissions from the sun can cause changes in the Earth's magnetic field and upper atmosphere, and what the implications of these are for the UK.

[15] When asked where her love of space science came from, Green has said: "As a child, I remember hearing my parents say that they thought I was going to be an astrophysicist when I grew up.

[18] In 2005, Green was a member of a team that won a Royal Television Society's Life Long Learning and Multimedia Award for a television show covering the transit of Venus, that enabled viewers to make their own Sun-Earth distance measurements using observations of the transit that year.

[1] In 2015, Green had a bust unveiled at the Royal Society in London, whilst being honoured at an event exploring the history of women and science writing.