{"id":"vidhyamitra:city-day:rishikesh:2104-01-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2104-01-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2104-01-20","date_display":"January 20, 2104 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":2104,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489548.770833,"kali_year":5205,"ahargana":1901083.2708,"sun":{"sidereal_longitude":273.387,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":181.2148,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":267.8279,"elapsed_within_tithi_degrees":3.8279},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":181.2148,"elapsed_within_degrees":7.8815},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":94.6018},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2104,"month":1,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489548.770833,"ahargana":1901083.2708,"kali_year":5205,"ayanamsa_lahiri":25.3065,"grahas":{"sun":{"sidereal_longitude":273.72098700000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":179.05828700000006,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false,"latitude":-4.2347},"mars":{"sidereal_longitude":92.40198699999996,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":259.248687,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":280.85548700000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"venus":{"sidereal_longitude":244.06188700000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":224.018287,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":251.4597,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":71.4597,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":2104,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489548.770833,"kali_year":5205,"ahargana":1901083.2708,"sun":{"sidereal_longitude":273.387,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":181.2148,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":267.8279,"elapsed_within_tithi_degrees":3.8279},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":181.2148,"elapsed_within_degrees":7.8815},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":94.6018},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.235,"elongation":92.172},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.235,"opposition_distance":87.828}},"eclipse_window_40days":[{"offset_days":-8,"type":"lunar","occurs":true,"moon_latitude":-0.89,"opposition_distance":1.868}]},"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":"07:13","sunsetLocal":"17:42","solarNoonLocal":"12:28","dayLengthHours":10.485244813024677,"dayLengthDisplay":"10 Hours 29 Mins 07 Secs","nightLengthDisplay":"13 Hours 30 Mins 53 Secs","moonriseLocal":"00:29","moonsetLocal":"11:50","rahuKala":{"name":"Rāhu Kāla","start":"16:24","end":"17:42","startHours":16.396865193838075,"endHours":17.70752079546616,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:28","end":"13:47","startHours":12.46489838895382,"endHours":13.775553990581905,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:05","end":"16:24","startHours":15.08620959220999,"endHours":16.396865193838075,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:01","startHours":9.668833105480573,"endHours":10.01834126591473,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:40","end":"07:56","startHours":7.659161182984177,"endHours":7.938767711331502,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:49","startHours":12.115390228519665,"endHours":12.814406549387979,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:49","end":"06:31","startHours":5.824243340704859,"endHours":6.523259661573171,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:21","end":"07:13","startHours":6.348505581356093,"endHours":7.222275982441483,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:13","end":"14:55","startHours":14.2124391911246,"endHours":14.911455511992912,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:30","end":"17:54","startHours":17.50752079546616,"endHours":17.90752079546616,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:42","end":"18:09","startHours":17.70752079546616,"endHours":18.144405996008853,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:27","end":"19:12","startHours":17.45752079546616,"endHours":19.20752079546616,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:49","startHours":24.115390228519665,"endHours":24.814406549387975,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:13","end":"08:32","startHours":7.222275982441483,"endHours":8.532931584069567,"quality":"inauspicious"},{"name":"Chala","start":"08:32","end":"09:51","startHours":8.532931584069567,"endHours":9.843587185697652,"quality":"neutral"},{"name":"Labha","start":"09:51","end":"11:09","startHours":9.843587185697652,"endHours":11.154242787325735,"quality":"auspicious"},{"name":"Amṛta","start":"11:09","end":"12:28","startHours":11.154242787325735,"endHours":12.46489838895382,"quality":"auspicious"},{"name":"Kāla","start":"12:28","end":"13:47","startHours":12.46489838895382,"endHours":13.775553990581905,"quality":"inauspicious"},{"name":"Śubha","start":"13:47","end":"15:05","startHours":13.775553990581905,"endHours":15.08620959220999,"quality":"auspicious"},{"name":"Roga","start":"15:05","end":"16:24","startHours":15.08620959220999,"endHours":16.396865193838075,"quality":"inauspicious"},{"name":"Udveg","start":"16:24","end":"17:42","startHours":16.396865193838075,"endHours":17.70752079546616,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:42","end":"19:24","startHours":17.70752079546616,"endHours":19.396865193838075,"quality":"auspicious"},{"name":"Roga","start":"19:24","end":"21:05","startHours":19.396865193838075,"endHours":21.08620959220999,"quality":"inauspicious"},{"name":"Udveg","start":"21:05","end":"22:47","startHours":21.08620959220999,"endHours":22.775553990581905,"quality":"inauspicious"},{"name":"Chala","start":"22:47","end":"00:28","startHours":22.775553990581905,"endHours":24.46489838895382,"quality":"neutral"},{"name":"Labha","start":"00:28","end":"02:09","startHours":24.46489838895382,"endHours":26.154242787325735,"quality":"auspicious"},{"name":"Amṛta","start":"02:09","end":"03:51","startHours":26.154242787325735,"endHours":27.84358718569765,"quality":"auspicious"},{"name":"Kāla","start":"03:51","end":"05:32","startHours":27.84358718569765,"endHours":29.532931584069566,"quality":"inauspicious"},{"name":"Śubha","start":"05:32","end":"07:13","startHours":29.532931584069566,"endHours":31.22227598244148,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:13","end":"08:13","startHours":7.222275982441483,"endHours":8.222275982441483,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:13","end":"09:13","startHours":8.222275982441483,"endHours":9.222275982441483,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:13","end":"10:13","startHours":9.222275982441483,"endHours":10.222275982441483,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:13","end":"11:13","startHours":10.222275982441483,"endHours":11.222275982441483,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:13","end":"12:13","startHours":11.222275982441483,"endHours":12.222275982441483,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:13","end":"13:13","startHours":12.222275982441483,"endHours":13.222275982441483,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:13","end":"14:13","startHours":13.222275982441483,"endHours":14.222275982441483,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:13","end":"15:13","startHours":14.222275982441483,"endHours":15.222275982441483,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:13","end":"16:13","startHours":15.222275982441483,"endHours":16.22227598244148,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:13","end":"17:13","startHours":16.22227598244148,"endHours":17.22227598244148,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:13","end":"18:13","startHours":17.22227598244148,"endHours":18.22227598244148,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:13","end":"19:13","startHours":18.22227598244148,"endHours":19.22227598244148,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:13","end":"20:13","startHours":19.22227598244148,"endHours":20.22227598244148,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:13","end":"21:13","startHours":20.22227598244148,"endHours":21.22227598244148,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:13","end":"22:13","startHours":21.22227598244148,"endHours":22.22227598244148,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:13","end":"23:13","startHours":22.22227598244148,"endHours":23.22227598244148,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:13","end":"00:13","startHours":23.22227598244148,"endHours":24.22227598244148,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:13","end":"01:13","startHours":24.22227598244148,"endHours":25.22227598244148,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:13","end":"02:13","startHours":25.22227598244148,"endHours":26.22227598244148,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:13","end":"03:13","startHours":26.22227598244148,"endHours":27.22227598244148,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:13","end":"04:13","startHours":27.22227598244148,"endHours":28.22227598244148,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:13","end":"05:13","startHours":28.22227598244148,"endHours":29.22227598244148,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:13","end":"06:13","startHours":29.22227598244148,"endHours":30.22227598244148,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:13","end":"07:13","startHours":30.22227598244148,"endHours":31.22227598244148,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-20.351107403384226,"eotMinutes":-10.9643033372293,"ayanamsa":25.3065}},"calendars":{"vikram_samvat":2161,"vikram_samvatsara":"Īśvara","saka_samvat":2026,"saka_samvatsara":"Raktākṣī","bengali_samvat":1511,"malayalam_era":1280,"nanakshahi_year":635,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Aṣṭamī · Vikram 2161 Īśvara · Śaka 2026 Raktākṣī"},"festivals":[{"id":"makara-sankranti","name":"Makara Saṅkrānti (Uttarāyaṇa)","name_sanskrit":"मकर सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Capricorn; Uttarāyaṇa (north-going) begins. Bhīṣma's chosen mahaprasthāna time.","vrata":true,"detection":{"sun_rashi":"Makara"},"precedence":1,"sources":["Mahābhārata Bhīṣma-Stuti","Sūrya-Siddhānta"]},{"id":"pongal","name":"Pongal / Thai Pongal","name_sanskrit":"पोङ्गल","tradition":"Regional","associated_deity":"Sūrya Bhagavān","significance":"Tamil 4-day harvest festival; coincides with Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi":"Makara"},"precedence":2}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 Kṛṣṇa Aṣṭamī","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 January 20, 2104 CE · Ṛṣikeśa · Vidhyamitra","description":"January 20, 2104 CE for Ṛṣikeśa: Kṛṣṇa Aṣṭamī, sūryodaya 07:13, sūryāsta 17:42.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2104-01-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2104-01-20","sa":"https://sa.vidhyamitra.com/city/rishikesh/2104-01-20","hi":"https://hi.vidhyamitra.com/city/rishikesh/2104-01-20","x-default":"https://vidhyamitra.com/city/rishikesh/2104-01-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-21T09:01:13.043Z","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":"2026-05-21T09:01:13.043Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-21T09:01:13.044Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}