{"id":"vidhyamitra:city-day:rishikesh:2112-12-24:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2112-12-24","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2112-12-24","date_display":"December 24, 2112 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2112,"month":12,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2492809.770833,"kali_year":5214,"ahargana":1904344.2708,"sun":{"sidereal_longitude":246.3298,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":307.8372,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":61.5074,"elapsed_within_tithi_degrees":1.5074},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":307.8372,"elapsed_within_degrees":1.1705},"yoga":{"number":15,"name":"Vajra","sum_longitude":194.167},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":2112,"month":12,"day":24,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2492809.770833,"ahargana":1904344.2708,"kali_year":5214,"ayanamsa_lahiri":25.4312,"grahas":{"sun":{"sidereal_longitude":246.91769299999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"moon":{"sidereal_longitude":309.217393,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false,"latitude":-3.403},"mars":{"sidereal_longitude":320.17009299999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":246.07849299999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":202.37799300000006,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":292.37079300000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":314.860093,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":78.6762,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":258.6762,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2112,"month":12,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2492809.770833,"kali_year":5214,"ahargana":1904344.2708,"sun":{"sidereal_longitude":246.3298,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":307.8372,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":61.5074,"elapsed_within_tithi_degrees":1.5074},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":307.8372,"elapsed_within_degrees":1.1705},"yoga":{"number":15,"name":"Vajra","sum_longitude":194.167},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.403,"elongation":61.507},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.403,"opposition_distance":118.493}},"eclipse_window_40days":[{"offset_days":9,"type":"lunar","occurs":true,"moon_latitude":-0.199,"opposition_distance":0.082}]},"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"sunriseLocal":"07:11","sunsetLocal":"17:23","solarNoonLocal":"12:17","dayLengthHours":10.206675375618609,"dayLengthDisplay":"10 Hours 12 Mins 24 Secs","nightLengthDisplay":"13 Hours 47 Mins 36 Secs","moonriseLocal":"10:46","moonsetLocal":"22:06","rahuKala":{"name":"Rāhu Kāla","start":"09:44","end":"11:00","startHours":9.730915759495604,"endHours":11.00675018144793,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:34","end":"14:50","startHours":13.558419025352581,"endHours":14.834253447304908,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:11","end":"08:27","startHours":7.1792469155909515,"endHours":8.455081337543277,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:34","end":"09:54","startHours":9.560804503235293,"endHours":9.901027015755915,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:36","end":"07:53","startHours":7.604525056241727,"endHours":7.876703066258223,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:37","startHours":11.942362090879636,"endHours":12.622807115920876,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:49","end":"06:30","startHours":5.81835686550847,"endHours":6.498801890549711,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:20","end":"07:11","startHours":6.3286906342894005,"endHours":7.1792469155909515,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:59","end":"14:40","startHours":13.983697166003358,"endHours":14.664142191044599,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:11","end":"17:35","startHours":17.18592229120956,"endHours":17.58592229120956,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:23","end":"17:49","startHours":17.38592229120956,"endHours":17.811200431860335,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:08","end":"18:53","startHours":17.13592229120956,"endHours":18.88592229120956,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:37","startHours":23.942362090879637,"endHours":24.622807115920875,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:11","end":"08:27","startHours":7.1792469155909515,"endHours":8.455081337543277,"quality":"inauspicious"},{"name":"Śubha","start":"08:27","end":"09:44","startHours":8.455081337543277,"endHours":9.730915759495604,"quality":"auspicious"},{"name":"Roga","start":"09:44","end":"11:00","startHours":9.730915759495604,"endHours":11.00675018144793,"quality":"inauspicious"},{"name":"Udveg","start":"11:00","end":"12:17","startHours":11.00675018144793,"endHours":12.282584603400256,"quality":"inauspicious"},{"name":"Chala","start":"12:17","end":"13:34","startHours":12.282584603400256,"endHours":13.558419025352581,"quality":"neutral"},{"name":"Labha","start":"13:34","end":"14:50","startHours":13.558419025352581,"endHours":14.834253447304908,"quality":"auspicious"},{"name":"Amṛta","start":"14:50","end":"16:07","startHours":14.834253447304908,"endHours":16.110087869257235,"quality":"auspicious"},{"name":"Kāla","start":"16:07","end":"17:23","startHours":16.110087869257235,"endHours":17.38592229120956,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:23","end":"19:07","startHours":17.38592229120956,"endHours":19.110087869257235,"quality":"auspicious"},{"name":"Amṛta","start":"19:07","end":"20:50","startHours":19.110087869257235,"endHours":20.83425344730491,"quality":"auspicious"},{"name":"Kāla","start":"20:50","end":"22:34","startHours":20.83425344730491,"endHours":22.55841902535258,"quality":"inauspicious"},{"name":"Śubha","start":"22:34","end":"00:17","startHours":22.55841902535258,"endHours":24.282584603400256,"quality":"auspicious"},{"name":"Roga","start":"00:17","end":"02:00","startHours":24.282584603400256,"endHours":26.00675018144793,"quality":"inauspicious"},{"name":"Udveg","start":"02:00","end":"03:44","startHours":26.00675018144793,"endHours":27.730915759495602,"quality":"inauspicious"},{"name":"Chala","start":"03:44","end":"05:27","startHours":27.730915759495602,"endHours":29.455081337543277,"quality":"neutral"},{"name":"Labha","start":"05:27","end":"07:11","startHours":29.455081337543277,"endHours":31.17924691559095,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.1792469155909515,"endHours":8.179246915590952,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.179246915590952,"endHours":9.179246915590952,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.179246915590952,"endHours":10.179246915590952,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.179246915590952,"endHours":11.179246915590952,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.179246915590952,"endHours":12.179246915590952,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.179246915590952,"endHours":13.179246915590952,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.179246915590952,"endHours":14.179246915590952,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.179246915590952,"endHours":15.179246915590952,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.179246915590952,"endHours":16.17924691559095,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.17924691559095,"endHours":17.17924691559095,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.17924691559095,"endHours":18.17924691559095,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.17924691559095,"endHours":19.17924691559095,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.17924691559095,"endHours":20.17924691559095,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.17924691559095,"endHours":21.17924691559095,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.17924691559095,"endHours":22.17924691559095,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.17924691559095,"endHours":23.17924691559095,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.17924691559095,"endHours":24.17924691559095,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.17924691559095,"endHours":25.17924691559095,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.17924691559095,"endHours":26.17924691559095,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.17924691559095,"endHours":27.17924691559095,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.17924691559095,"endHours":28.17924691559095,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.17924691559095,"endHours":29.17924691559095,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.17924691559095,"endHours":30.17924691559095,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.17924691559095,"endHours":31.17924691559095,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.415632855430346,"eotMinutes":-0.025476204015291604,"ayanamsa":25.4312}},"calendars":{"vikram_samvat":2169,"vikram_samvatsara":"Pārthiva","saka_samvat":2034,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1519,"malayalam_era":1288,"nanakshahi_year":643,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Ṣaṣṭhī · Vikram 2169 Pārthiva · Śaka 2034 Aṅgirasa"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"rishikesh"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 24, 2112 CE · Ṛṣikeśa · Vidhyamitra","description":"December 24, 2112 CE for Ṛṣikeśa: Śukla Ṣaṣṭhī, sūryodaya 07:11, sūryāsta 17:23.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2112-12-24","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2112-12-24","sa":"https://sa.vidhyamitra.com/city/rishikesh/2112-12-24","hi":"https://hi.vidhyamitra.com/city/rishikesh/2112-12-24","x-default":"https://vidhyamitra.com/city/rishikesh/2112-12-24"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T18:47:23.561Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-05-31T18:47:23.561Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T18:47:23.561Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}