He travelled to a house of his in Madinah and had intercourse during the day in Ramadan without ejaculating
Question

                I was on leave and I travelled to Makkah to do ‘Umrah, then I went to al-Madinah al-Munawwarah, where I had intercourse with my wife during the day in Ramadan, but there was no ejaculation. Do I have to do anything? If I have to do something, as far as I know it is, in order, to free a slave, which I cannot do because I do not have enough money; or to fast for two consecutive months, which I cannot do because of the circumstances of my work in the field, and with the summer heat it is too difficult for me to fast. Can I feed sixty poor persons, and does my wife have to do the same thing because she was willing? Please note that we have a house in al-Madinah al-Munawwarah and I am a resident of Riyadh; I go there when I am on leave.
Praise be to Allah.
      Whoever has intercourse in the day in Ramadan when he is 
      fasting and is not travelling has to offer a severe expiation, which is to 
      free a slave. If he cannot do that, then he has to fast for two 
      consecutive months. If he is not able to do that, then he has to feed 
      sixty poor persons. He also has to repent and make up that day. The same 
      is required of the wife if she was willing. It makes no difference whether 
      ejaculation occurred or not; if intercourse, i.e., penetration, occurred, 
      then expiation must be offered. 

    If they were travelling, then there is no sin and they do not 
    have to offer expiation or refrain from eating and so on for the rest of the 
    day. Rather they have to make up that day, because fasting was not 
    obligatory for them. 

    If you are a resident of Riyadh and you have a house in 
    Madinah that you go to when you are on leave, then when you go to Madinah 
    you come under the same ruling as those who reside there, and you have to 
    fast and offer the prayers in full, and it is haraam for you to break the 
    fast by having intercourse and so on, and you have to offer expiation for 
    having intercourse. 

    But if you went to Makkah, for example, then you do not come 
    under the same ruling as those who reside there, unless you intended to stay 
    there for more than four days. If you intended to stay there for less than 
    that, then you come under the ruling on travelers. 

    Shaykh Muhammad ibn ‘Uthaymeen (may Allah have mercy on him) 
    was asked: A man travelled from one city to another, and he owns a house in 
    the city to which he travelled; should he offer the prayers in full or can 
    he shorten them?

    Shaykh: But is he a resident in that city? For example, does 
    he stay for two or three months in one, then two or three months on the 
    other, or what? 

    Questioner: He travels there during the summer vacation. 

    Shaykh: He goes there during the summer? 

    Questioner: Yes. 

    Shaykh: Then he should not shorten his prayers, because in 
    fact he has two homes.

    End quote from Liqa’ al-Baab al-Maftooh, 25/162 

    Based on that, if your breaking the fast happened before you 
    entered Madinah, there is no sin on you for what you did, and all you have 
    to do is make up that day, because you broke the fast because of 
    travelling. 

    But if your breaking the fast happened after you had entered 
    Madinah, then you have to offer expiation. 
Our advice to you is to try 
    to fast the two consecutive months on cold or moderate days when the day is 
    shorter and there will be less difficulty involved, or during the days of 
    annual leave from work and other times when you have the opportunity to do 
    what is required of you. If you are genuinely unable to fast, then it is 
    permissible for you in that case to feed sixty poor persons, giving them one 
    meal, or giving several meals until you complete the number required. 
See also the answer to 
    question no. 106532
And Allah knows best.