{"id":"vidhyamitra:city-day:rishikesh:2126-01-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2126-01-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2126-01-03","date_display":"January 3, 2126 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":2126,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2497567.770833,"kali_year":5227,"ahargana":1909102.2708,"sun":{"sidereal_longitude":256.2343,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":0.7539,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":104.5195,"elapsed_within_tithi_degrees":8.5195},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":0.7539,"elapsed_within_degrees":0.7539},"yoga":{"number":20,"name":"Śiva","sum_longitude":256.9882},"karana":{"half_tithi_index":17,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2126,"month":1,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2497567.770833,"ahargana":1909102.2708,"kali_year":5227,"ayanamsa_lahiri":25.6132,"grahas":{"sun":{"sidereal_longitude":256.76550199999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":359.680202,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false,"latitude":0.4559},"mars":{"sidereal_longitude":300.256302,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":259.622802,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":232.88050199999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":221.882202,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":136.41720199999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":186.5744,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":6.5744,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","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":2126,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2497567.770833,"kali_year":5227,"ahargana":1909102.2708,"sun":{"sidereal_longitude":256.2343,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":0.7539,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":104.5195,"elapsed_within_tithi_degrees":8.5195},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":0.7539,"elapsed_within_degrees":0.7539},"yoga":{"number":20,"name":"Śiva","sum_longitude":256.9882},"karana":{"half_tithi_index":17,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.456,"elongation":104.52},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.456,"opposition_distance":75.48}},"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":"07:14","sunsetLocal":"17:29","solarNoonLocal":"12:22","dayLengthHours":10.258201585919153,"dayLengthDisplay":"10 Hours 15 Mins 30 Secs","nightLengthDisplay":"13 Hours 44 Mins 30 Secs","moonriseLocal":"12:47","moonsetLocal":"01:39","rahuKala":{"name":"Rāhu Kāla","start":"13:38","end":"14:55","startHours":13.64092554541753,"endHours":14.923200743657425,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:14","end":"08:31","startHours":7.22954955421806,"endHours":8.511824752457954,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:48","end":"11:05","startHours":9.794099950697849,"endHours":11.076375148937743,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:58","startHours":9.623129924265863,"endHours":9.965069977129835,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:39","end":"07:56","startHours":7.656974620298025,"endHours":7.930526662589203,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:01","end":"12:42","startHours":12.016710294313665,"endHours":12.700590400041609,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:52","end":"06:33","startHours":5.861789342762173,"endHours":6.545669448490116,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:22","end":"07:14","startHours":6.374699422058131,"endHours":7.22954955421806,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:04","end":"14:45","startHours":14.068350611497497,"endHours":14.75223071722544,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:17","end":"17:41","startHours":17.287751140137214,"endHours":17.687751140137213,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:29","end":"17:55","startHours":17.487751140137213,"endHours":17.91517620621718,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:14","end":"18:59","startHours":17.237751140137213,"endHours":18.987751140137213,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:01","end":"00:42","startHours":24.016710294313665,"endHours":24.70059040004161,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:14","end":"08:31","startHours":7.22954955421806,"endHours":8.511824752457954,"quality":"auspicious"},{"name":"Roga","start":"08:31","end":"09:48","startHours":8.511824752457954,"endHours":9.794099950697849,"quality":"inauspicious"},{"name":"Udveg","start":"09:48","end":"11:05","startHours":9.794099950697849,"endHours":11.076375148937743,"quality":"inauspicious"},{"name":"Chala","start":"11:05","end":"12:22","startHours":11.076375148937743,"endHours":12.358650347177637,"quality":"neutral"},{"name":"Labha","start":"12:22","end":"13:38","startHours":12.358650347177637,"endHours":13.64092554541753,"quality":"auspicious"},{"name":"Amṛta","start":"13:38","end":"14:55","startHours":13.64092554541753,"endHours":14.923200743657425,"quality":"auspicious"},{"name":"Kāla","start":"14:55","end":"16:12","startHours":14.923200743657425,"endHours":16.20547594189732,"quality":"inauspicious"},{"name":"Śubha","start":"16:12","end":"17:29","startHours":16.20547594189732,"endHours":17.487751140137213,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:29","end":"19:12","startHours":17.487751140137213,"endHours":19.20547594189732,"quality":"auspicious"},{"name":"Kāla","start":"19:12","end":"20:55","startHours":19.20547594189732,"endHours":20.923200743657425,"quality":"inauspicious"},{"name":"Śubha","start":"20:55","end":"22:38","startHours":20.923200743657425,"endHours":22.64092554541753,"quality":"auspicious"},{"name":"Roga","start":"22:38","end":"00:22","startHours":22.64092554541753,"endHours":24.358650347177637,"quality":"inauspicious"},{"name":"Udveg","start":"00:22","end":"02:05","startHours":24.358650347177637,"endHours":26.076375148937743,"quality":"inauspicious"},{"name":"Chala","start":"02:05","end":"03:48","startHours":26.076375148937743,"endHours":27.79409995069785,"quality":"neutral"},{"name":"Labha","start":"03:48","end":"05:31","startHours":27.79409995069785,"endHours":29.511824752457954,"quality":"auspicious"},{"name":"Amṛta","start":"05:31","end":"07:14","startHours":29.511824752457954,"endHours":31.22954955421806,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:14","end":"08:14","startHours":7.22954955421806,"endHours":8.22954955421806,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:14","end":"09:14","startHours":8.22954955421806,"endHours":9.22954955421806,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:14","end":"10:14","startHours":9.22954955421806,"endHours":10.22954955421806,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:14","end":"11:14","startHours":10.22954955421806,"endHours":11.22954955421806,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:14","end":"12:14","startHours":11.22954955421806,"endHours":12.22954955421806,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:14","end":"13:14","startHours":12.22954955421806,"endHours":13.22954955421806,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:14","end":"14:14","startHours":13.22954955421806,"endHours":14.22954955421806,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:14","end":"15:14","startHours":14.22954955421806,"endHours":15.22954955421806,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:14","end":"16:14","startHours":15.22954955421806,"endHours":16.22954955421806,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:14","end":"17:14","startHours":16.22954955421806,"endHours":17.22954955421806,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:14","end":"18:14","startHours":17.22954955421806,"endHours":18.22954955421806,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:14","end":"19:14","startHours":18.22954955421806,"endHours":19.22954955421806,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:14","end":"20:14","startHours":19.22954955421806,"endHours":20.22954955421806,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:14","end":"21:14","startHours":20.22954955421806,"endHours":21.22954955421806,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:14","end":"22:14","startHours":21.22954955421806,"endHours":22.22954955421806,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:14","end":"23:14","startHours":22.22954955421806,"endHours":23.22954955421806,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:14","end":"00:14","startHours":23.22954955421806,"endHours":24.22954955421806,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:14","end":"01:14","startHours":24.22954955421806,"endHours":25.22954955421806,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:14","end":"02:14","startHours":25.22954955421806,"endHours":26.22954955421806,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:14","end":"03:14","startHours":26.22954955421806,"endHours":27.22954955421806,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:14","end":"04:14","startHours":27.22954955421806,"endHours":28.22954955421806,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:14","end":"05:14","startHours":28.22954955421806,"endHours":29.22954955421806,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:14","end":"06:14","startHours":29.22954955421806,"endHours":30.22954955421806,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:14","end":"07:14","startHours":30.22954955421806,"endHours":31.22954955421806,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-West","rahuVasa":"North-West","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-22.860326016069344,"eotMinutes":-4.589420830658165,"ayanamsa":25.6132}},"calendars":{"vikram_samvat":2183,"vikram_samvatsara":"Vikāri","saka_samvat":2048,"saka_samvatsara":"Vyaya","bengali_samvat":1533,"malayalam_era":1302,"nanakshahi_year":657,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Navamī · Vikram 2183 Vikāri · Śaka 2048 Vyaya"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","relevance":0.5},{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Śukla Navamī","url":"/day/-1626101-04-03","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 3, 2126 CE · Ṛṣikeśa · Vidhyamitra","description":"January 3, 2126 CE for Ṛṣikeśa: Śukla Navamī, sūryodaya 07:14, sūryāsta 17:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2126-01-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2126-01-03","sa":"https://sa.vidhyamitra.com/city/rishikesh/2126-01-03","hi":"https://hi.vidhyamitra.com/city/rishikesh/2126-01-03","x-default":"https://vidhyamitra.com/city/rishikesh/2126-01-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-22T13:40:16.623Z","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":"2026-05-22T13:40:16.623Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-22T13:40:16.623Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}