I think the secular definition of “contemplation” is closer to “meditation” in terms of the three expressions of prayer described by the CCC. So to an active person, “contemplation” means to think about something; to a contemplative pray-er, it means to cease thinking about anything in particular.
Here are a couple CCC paragraphs about meditation… see if this sounds like what you’re talking about:
2706 To meditate on what we read helps us to make it our own by confronting it with ourselves. Here, another book is opened: the book of life. We pass from thoughts to reality. To the extent that we are humble and faithful, we discover in meditation the movements that stir the heart and we are able to discern them. It is a question of acting truthfully in order to come into the light: “Lord, what do you want me to do?”
2707 There are as many and varied methods of meditation as there are spiritual masters. Christians owe it to themselves to develop the desire to meditate regularly, lest they come to resemble the three first kinds of soil in the parable of the sower.5 But a method is only a guide; the important thing is to advance, with the Holy Spirit, along the one way of prayer: Christ Jesus.
2708 Meditation engages thought, imagination, emotion, and desire. This mobilization of faculties is necessary in order to deepen our convictions of faith, prompt the conversion of our heart, and strengthen our will to follow Christ. Christian prayer tries above all to meditate on the mysteries of Christ, as in lectio divina or the rosary. This form of prayerful reflection is of great value, but Christian prayer should go further: to the knowledge of the love of the Lord Jesus, to union with him.
Here are the summary paragraphs comparing meditation with contemplation:
2723 Meditation is a prayerful quest engaging thought, imagination, emotion, and desire. Its goal is to make our own in faith the subject considered, by confronting it with the reality of our own life.
2724 Contemplative prayer is the simple expression of the mystery of prayer. It is a gaze of faith fixed on Jesus, an attentiveness to the Word of God, a silent love. It achieves real union with the prayer of Christ to the extent that it makes us share in his mystery.
Note the reference to Lectio Divina. Lectio has four movements, each going deeper into intimacy with the scripture. In practice, a scripture passage or other “meditation” is read before each segment, and the difference is how, in the silence, you receive it:
*]Lectio: read
*]Meditatio: meditate
*]Oratio: pray
*]Contemplatio: contemplate
So Lectio Divina is a very good prayer form because it invokes all the expressions of prayer (vocal, meditative, and contemplative) and strikes a person at all levels of intimacy.

Alan