{"id":"vidhyamitra:city-day:rishikesh:2169-01-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2169-01-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2169-01-01","date_display":"January 1, 2169 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":2169,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513271.770833,"kali_year":5270,"ahargana":1924806.2708,"sun":{"sidereal_longitude":254.0481,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":286.4891,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":32.441,"elapsed_within_tithi_degrees":8.441},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2,"moon_longitude":286.4891,"elapsed_within_degrees":6.4891},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":180.5371},"karana":{"half_tithi_index":5,"name":"Gara"},"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":2169,"month":1,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2513271.770833,"ahargana":1924806.2708,"kali_year":5270,"ayanamsa_lahiri":26.2138,"grahas":{"sun":{"sidereal_longitude":254.70009400000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":283.749594,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false,"latitude":-2.3821},"mars":{"sidereal_longitude":262.28099399999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":230.86729400000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":108.39289400000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":293.8337939999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":283.355994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":74.501,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":254.501,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"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":2169,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513271.770833,"kali_year":5270,"ahargana":1924806.2708,"sun":{"sidereal_longitude":254.0481,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":286.4891,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":32.441,"elapsed_within_tithi_degrees":8.441},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2,"moon_longitude":286.4891,"elapsed_within_degrees":6.4891},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":180.5371},"karana":{"half_tithi_index":5,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.382,"elongation":32.441},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.382,"opposition_distance":147.559}},"eclipse_window_40days":[{"offset_days":-17,"type":"lunar","occurs":true,"moon_latitude":-1.424,"opposition_distance":0.344},{"offset_days":-3,"type":"solar","occurs":true,"moon_latitude":0.456,"elongation":2.131}]},"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":"17:28","solarNoonLocal":"12:21","dayLengthHours":10.2463969731225,"dayLengthDisplay":"10 Hours 14 Mins 47 Secs","nightLengthDisplay":"13 Hours 45 Mins 13 Secs","moonriseLocal":"08:57","moonsetLocal":"19:37","rahuKala":{"name":"Rāhu Kāla","start":"16:11","end":"17:28","startHours":16.186311836977538,"endHours":17.46711145861785,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:21","end":"13:37","startHours":12.3439129720566,"endHours":13.624712593696913,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:54","end":"16:11","startHours":14.905512215337225,"endHours":16.186311836977538,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:57","startHours":9.6115404458906,"endHours":9.95308701166135,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:39","end":"07:55","startHours":7.647647692708787,"endHours":7.920884945325387,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:00","end":"12:41","startHours":12.00236640628585,"endHours":12.68545953782735,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:51","end":"06:32","startHours":5.85452822241235,"endHours":6.53762135395385,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:22","end":"07:13","startHours":6.366848071068475,"endHours":7.22071448549535,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:03","end":"14:44","startHours":14.05164580091035,"endHours":14.734738932451851,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:16","end":"17:40","startHours":17.26711145861785,"endHours":17.66711145861785,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:28","end":"17:54","startHours":17.46711145861785,"endHours":17.894044665831288,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:13","end":"18:58","startHours":17.21711145861785,"endHours":18.96711145861785,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:00","end":"00:41","startHours":24.00236640628585,"endHours":24.68545953782735,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:13","end":"08:30","startHours":7.22071448549535,"endHours":8.501514107135662,"quality":"inauspicious"},{"name":"Chala","start":"08:30","end":"09:47","startHours":8.501514107135662,"endHours":9.782313728775975,"quality":"neutral"},{"name":"Labha","start":"09:47","end":"11:04","startHours":9.782313728775975,"endHours":11.063113350416288,"quality":"auspicious"},{"name":"Amṛta","start":"11:04","end":"12:21","startHours":11.063113350416288,"endHours":12.3439129720566,"quality":"auspicious"},{"name":"Kāla","start":"12:21","end":"13:37","startHours":12.3439129720566,"endHours":13.624712593696913,"quality":"inauspicious"},{"name":"Śubha","start":"13:37","end":"14:54","startHours":13.624712593696913,"endHours":14.905512215337225,"quality":"auspicious"},{"name":"Roga","start":"14:54","end":"16:11","startHours":14.905512215337225,"endHours":16.186311836977538,"quality":"inauspicious"},{"name":"Udveg","start":"16:11","end":"17:28","startHours":16.186311836977538,"endHours":17.46711145861785,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:28","end":"19:11","startHours":17.46711145861785,"endHours":19.186311836977538,"quality":"auspicious"},{"name":"Roga","start":"19:11","end":"20:54","startHours":19.186311836977538,"endHours":20.905512215337225,"quality":"inauspicious"},{"name":"Udveg","start":"20:54","end":"22:37","startHours":20.905512215337225,"endHours":22.624712593696913,"quality":"inauspicious"},{"name":"Chala","start":"22:37","end":"00:21","startHours":22.624712593696913,"endHours":24.3439129720566,"quality":"neutral"},{"name":"Labha","start":"00:21","end":"02:04","startHours":24.3439129720566,"endHours":26.063113350416288,"quality":"auspicious"},{"name":"Amṛta","start":"02:04","end":"03:47","startHours":26.063113350416288,"endHours":27.782313728775975,"quality":"auspicious"},{"name":"Kāla","start":"03:47","end":"05:30","startHours":27.782313728775975,"endHours":29.501514107135662,"quality":"inauspicious"},{"name":"Śubha","start":"05:30","end":"07:13","startHours":29.501514107135662,"endHours":31.22071448549535,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:13","end":"08:13","startHours":7.22071448549535,"endHours":8.22071448549535,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:13","end":"09:13","startHours":8.22071448549535,"endHours":9.22071448549535,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:13","end":"10:13","startHours":9.22071448549535,"endHours":10.22071448549535,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:13","end":"11:13","startHours":10.22071448549535,"endHours":11.22071448549535,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:13","end":"12:13","startHours":11.22071448549535,"endHours":12.22071448549535,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:13","end":"13:13","startHours":12.22071448549535,"endHours":13.22071448549535,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:13","end":"14:13","startHours":13.22071448549535,"endHours":14.22071448549535,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:13","end":"15:13","startHours":14.22071448549535,"endHours":15.22071448549535,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:13","end":"16:13","startHours":15.22071448549535,"endHours":16.22071448549535,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:13","end":"17:13","startHours":16.22071448549535,"endHours":17.22071448549535,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:13","end":"18:13","startHours":17.22071448549535,"endHours":18.22071448549535,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:13","end":"19:13","startHours":18.22071448549535,"endHours":19.22071448549535,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:13","end":"20:13","startHours":19.22071448549535,"endHours":20.22071448549535,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:13","end":"21:13","startHours":20.22071448549535,"endHours":21.22071448549535,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:13","end":"22:13","startHours":21.22071448549535,"endHours":22.22071448549535,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:13","end":"23:13","startHours":22.22071448549535,"endHours":23.22071448549535,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:13","end":"00:13","startHours":23.22071448549535,"endHours":24.22071448549535,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:13","end":"01:13","startHours":24.22071448549535,"endHours":25.22071448549535,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:13","end":"02:13","startHours":25.22071448549535,"endHours":26.22071448549535,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:13","end":"03:13","startHours":26.22071448549535,"endHours":27.22071448549535,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:13","end":"04:13","startHours":27.22071448549535,"endHours":28.22071448549535,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:13","end":"05:13","startHours":28.22071448549535,"endHours":29.22071448549535,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:13","end":"06:13","startHours":29.22071448549535,"endHours":30.22071448549535,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:13","end":"07:13","startHours":30.22071448549535,"endHours":31.22071448549535,"planetary_lord":"Jupiter"}],"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":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Mausala","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":-22.988017194288815,"eotMinutes":-3.705178323396069,"ayanamsa":26.2138}},"calendars":{"vikram_samvat":2226,"vikram_samvatsara":"Citrabhānu","saka_samvat":2091,"saka_samvatsara":"Śukla","bengali_samvat":1576,"malayalam_era":1345,"nanakshahi_year":700,"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 Tṛtīyā · Vikram 2226 Citrabhānu · Śaka 2091 Śukla"},"festivals":[],"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":[]},"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 1, 2169 CE · Ṛṣikeśa · Vidhyamitra","description":"January 1, 2169 CE for Ṛṣikeśa: Śukla Tṛtīyā, sūryodaya 07:13, sūryāsta 17:28.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2169-01-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2169-01-01","sa":"https://sa.vidhyamitra.com/city/rishikesh/2169-01-01","hi":"https://hi.vidhyamitra.com/city/rishikesh/2169-01-01","x-default":"https://vidhyamitra.com/city/rishikesh/2169-01-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-29T21:34:23.515Z","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":"2026-05-29T21:34:23.515Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-29T21:34:23.515Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}