{"id":"vidhyamitra:city-day:rishikesh:2110-12-24:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2110-12-24","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2110-12-24","date_display":"December 24, 2110 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":2110,"month":12,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2492078.770833,"kali_year":5212,"ahargana":1903613.2708,"sun":{"sidereal_longitude":245.8341,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":41.1588,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":155.3247,"elapsed_within_tithi_degrees":11.3247},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":41.1588,"elapsed_within_degrees":1.1588},"yoga":{"number":22,"name":"Sādhya","sum_longitude":286.9929},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2110,"month":12,"day":24,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2492078.770833,"ahargana":1903613.2708,"kali_year":5212,"ayanamsa_lahiri":25.4033,"grahas":{"sun":{"sidereal_longitude":246.421422,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":42.37672199999997,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false,"latitude":-4.3708},"mars":{"sidereal_longitude":299.68342200000006,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":224.420122,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":150.014022,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":266.515122,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":292.68022199999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":117.4081,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":297.4081,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","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":2110,"month":12,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2492078.770833,"kali_year":5212,"ahargana":1903613.2708,"sun":{"sidereal_longitude":245.8341,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":41.1588,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":155.3247,"elapsed_within_tithi_degrees":11.3247},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":41.1588,"elapsed_within_degrees":1.1588},"yoga":{"number":22,"name":"Sādhya","sum_longitude":286.9929},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.371,"elongation":155.325},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.371,"opposition_distance":24.675}},"eclipse_window_40days":[]},"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":10.20590396265778,"dayLengthDisplay":"10 Hours 12 Mins 21 Secs","nightLengthDisplay":"13 Hours 47 Mins 39 Secs","moonriseLocal":"15:45","moonsetLocal":"05:37","rahuKala":{"name":"Rāhu Kāla","start":"12:17","end":"13:33","startHours":12.282584603400256,"endHours":13.558322598732477,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:27","end":"09:44","startHours":8.455370617403588,"endHours":9.73110861273581,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:00","end":"12:17","startHours":11.006846608068033,"endHours":12.282584603400256,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:34","end":"09:54","startHours":9.56101021335818,"endHours":9.901207012113439,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:36","end":"07:53","startHours":7.604878620515439,"endHours":7.8770360595196465,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:37","startHours":11.942387804644996,"endHours":12.622781402155516,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:49","end":"06:30","startHours":5.818845427050327,"endHours":6.499239024560846,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:20","end":"07:11","startHours":6.329140625183216,"endHours":7.179632622071365,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:59","end":"14:40","startHours":13.983568597176552,"endHours":14.66396219468707,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:11","end":"17:35","startHours":17.185536584729146,"endHours":17.585536584729144,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:23","end":"17:49","startHours":17.385536584729145,"endHours":17.810782583173218,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:08","end":"18:53","startHours":17.135536584729145,"endHours":18.885536584729145,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:37","startHours":23.942387804644998,"endHours":24.622781402155514,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:11","end":"08:27","startHours":7.179632622071365,"endHours":8.455370617403588,"quality":"auspicious"},{"name":"Amṛta","start":"08:27","end":"09:44","startHours":8.455370617403588,"endHours":9.73110861273581,"quality":"auspicious"},{"name":"Kāla","start":"09:44","end":"11:00","startHours":9.73110861273581,"endHours":11.006846608068033,"quality":"inauspicious"},{"name":"Śubha","start":"11:00","end":"12:17","startHours":11.006846608068033,"endHours":12.282584603400256,"quality":"auspicious"},{"name":"Roga","start":"12:17","end":"13:33","startHours":12.282584603400256,"endHours":13.558322598732477,"quality":"inauspicious"},{"name":"Udveg","start":"13:33","end":"14:50","startHours":13.558322598732477,"endHours":14.8340605940647,"quality":"inauspicious"},{"name":"Chala","start":"14:50","end":"16:07","startHours":14.8340605940647,"endHours":16.109798589396924,"quality":"neutral"},{"name":"Labha","start":"16:07","end":"17:23","startHours":16.109798589396924,"endHours":17.385536584729145,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:23","end":"19:07","startHours":17.385536584729145,"endHours":19.109798589396924,"quality":"inauspicious"},{"name":"Chala","start":"19:07","end":"20:50","startHours":19.109798589396924,"endHours":20.8340605940647,"quality":"neutral"},{"name":"Labha","start":"20:50","end":"22:33","startHours":20.8340605940647,"endHours":22.558322598732477,"quality":"auspicious"},{"name":"Amṛta","start":"22:33","end":"00:17","startHours":22.558322598732477,"endHours":24.282584603400256,"quality":"auspicious"},{"name":"Kāla","start":"00:17","end":"02:00","startHours":24.282584603400256,"endHours":26.00684660806803,"quality":"inauspicious"},{"name":"Śubha","start":"02:00","end":"03:44","startHours":26.00684660806803,"endHours":27.73110861273581,"quality":"auspicious"},{"name":"Roga","start":"03:44","end":"05:27","startHours":27.73110861273581,"endHours":29.455370617403588,"quality":"inauspicious"},{"name":"Udveg","start":"05:27","end":"07:11","startHours":29.455370617403588,"endHours":31.179632622071367,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.179632622071365,"endHours":8.179632622071365,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.179632622071365,"endHours":9.179632622071365,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.179632622071365,"endHours":10.179632622071365,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.179632622071365,"endHours":11.179632622071365,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.179632622071365,"endHours":12.179632622071365,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.179632622071365,"endHours":13.179632622071365,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.179632622071365,"endHours":14.179632622071365,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.179632622071365,"endHours":15.179632622071365,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.179632622071365,"endHours":16.179632622071367,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.179632622071367,"endHours":17.179632622071367,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.179632622071367,"endHours":18.179632622071367,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.179632622071367,"endHours":19.179632622071367,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.179632622071367,"endHours":20.179632622071367,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.179632622071367,"endHours":21.179632622071367,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.179632622071367,"endHours":22.179632622071367,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.179632622071367,"endHours":23.179632622071367,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.179632622071367,"endHours":24.179632622071367,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.179632622071367,"endHours":25.179632622071367,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.179632622071367,"endHours":26.179632622071367,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.179632622071367,"endHours":27.179632622071367,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.179632622071367,"endHours":28.179632622071367,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.179632622071367,"endHours":29.179632622071367,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.179632622071367,"endHours":30.179632622071367,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.179632622071367,"endHours":31.179632622071367,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Utpāta","quality":"Inauspicious"},"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":-23.42390588433382,"eotMinutes":-0.025476204015291604,"ayanamsa":25.4033}},"calendars":{"vikram_samvat":2167,"vikram_samvatsara":"Subhānu","saka_samvat":2032,"saka_samvatsara":"Pramoda","bengali_samvat":1517,"malayalam_era":1286,"nanakshahi_year":641,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","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":"Mārgaśīrṣa Śukla Trayodaśī · Vikram 2167 Subhānu · Śaka 2032 Pramoda"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","relevance":0.5}]},"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, 2110 CE · Ṛṣikeśa · Vidhyamitra","description":"December 24, 2110 CE for Ṛṣikeśa: Śukla Trayodaśī, sūryodaya 07:11, sūryāsta 17:23.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2110-12-24","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2110-12-24","sa":"https://sa.vidhyamitra.com/city/rishikesh/2110-12-24","hi":"https://hi.vidhyamitra.com/city/rishikesh/2110-12-24","x-default":"https://vidhyamitra.com/city/rishikesh/2110-12-24"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T21:14:55.134Z","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":"2026-05-31T21:14:55.134Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T21:14:55.134Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}