{"id":"vidhyamitra:city-day:rishikesh:2045-01-06:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2045-01-06","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-01-06","date_display":"January 6, 2045 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":2045,"month":1,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2467986.770833,"kali_year":5146,"ahargana":1879521.2708,"sun":{"sidereal_longitude":261.3329,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":115.5303,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":214.1973,"elapsed_within_tithi_degrees":10.1973},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3,"moon_longitude":115.5303,"elapsed_within_degrees":8.8636},"yoga":{"number":2,"name":"Prīti","sum_longitude":16.8632},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2045,"month":1,"day":6,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2467986.770833,"ahargana":1879521.2708,"kali_year":5146,"ayanamsa_lahiri":24.4818,"grahas":{"sun":{"sidereal_longitude":261.629414,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":118.522514,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false,"latitude":1.4182},"mars":{"sidereal_longitude":287.41821400000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":244.03211399999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":287.21521400000006,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"venus":{"sidereal_longitude":243.623514,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":222.23981400000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":313.9182,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":133.9182,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","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":2045,"month":1,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2467986.770833,"kali_year":5146,"ahargana":1879521.2708,"sun":{"sidereal_longitude":261.3329,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":115.5303,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":214.1973,"elapsed_within_tithi_degrees":10.1973},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3,"moon_longitude":115.5303,"elapsed_within_degrees":8.8636},"yoga":{"number":2,"name":"Prīti","sum_longitude":16.8632},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.418,"elongation":145.803},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.418,"opposition_distance":34.197}},"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":"17:32","solarNoonLocal":"12:23","dayLengthHours":10.294629218585516,"dayLengthDisplay":"10 Hours 17 Mins 41 Secs","nightLengthDisplay":"13 Hours 42 Mins 19 Secs","moonriseLocal":"20:15","moonsetLocal":"09:26","rahuKala":{"name":"Rāhu Kāla","start":"11:06","end":"12:23","startHours":11.093258366126374,"endHours":12.380087018449563,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:57","end":"16:14","startHours":14.953744323095943,"endHours":16.240572975419134,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:31","end":"09:48","startHours":8.519601061479994,"endHours":9.806429713803183,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:38","end":"09:59","startHours":9.634852560160093,"endHours":9.978006867446275,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:40","end":"07:56","startHours":7.661715293264535,"endHours":7.936238739093483,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:02","end":"12:43","startHours":12.036932711163379,"endHours":12.723241325735748,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:52","end":"06:33","startHours":5.86015518001207,"endHours":6.5464637945844375,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:22","end":"07:14","startHours":6.374886640941345,"endHours":7.232772409156805,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:06","end":"14:47","startHours":14.095858554880483,"endHours":14.782167169452851,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:20","end":"17:44","startHours":17.327401627742322,"endHours":17.72740162774232,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:32","end":"17:57","startHours":17.52740162774232,"endHours":17.95634451185005,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:17","end":"19:02","startHours":17.27740162774232,"endHours":19.02740162774232,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:02","end":"00:43","startHours":24.03693271116338,"endHours":24.72324132573575,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:14","end":"08:31","startHours":7.232772409156805,"endHours":8.519601061479994,"quality":"neutral"},{"name":"Labha","start":"08:31","end":"09:48","startHours":8.519601061479994,"endHours":9.806429713803183,"quality":"auspicious"},{"name":"Amṛta","start":"09:48","end":"11:06","startHours":9.806429713803183,"endHours":11.093258366126374,"quality":"auspicious"},{"name":"Kāla","start":"11:06","end":"12:23","startHours":11.093258366126374,"endHours":12.380087018449563,"quality":"inauspicious"},{"name":"Śubha","start":"12:23","end":"13:40","startHours":12.380087018449563,"endHours":13.666915670772752,"quality":"auspicious"},{"name":"Roga","start":"13:40","end":"14:57","startHours":13.666915670772752,"endHours":14.953744323095943,"quality":"inauspicious"},{"name":"Udveg","start":"14:57","end":"16:14","startHours":14.953744323095943,"endHours":16.240572975419134,"quality":"inauspicious"},{"name":"Chala","start":"16:14","end":"17:32","startHours":16.240572975419134,"endHours":17.52740162774232,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:32","end":"19:14","startHours":17.52740162774232,"endHours":19.24057297541913,"quality":"inauspicious"},{"name":"Udveg","start":"19:14","end":"20:57","startHours":19.24057297541913,"endHours":20.953744323095943,"quality":"inauspicious"},{"name":"Chala","start":"20:57","end":"22:40","startHours":20.953744323095943,"endHours":22.666915670772752,"quality":"neutral"},{"name":"Labha","start":"22:40","end":"00:23","startHours":22.666915670772752,"endHours":24.380087018449565,"quality":"auspicious"},{"name":"Amṛta","start":"00:23","end":"02:06","startHours":24.380087018449565,"endHours":26.093258366126374,"quality":"auspicious"},{"name":"Kāla","start":"02:06","end":"03:48","startHours":26.093258366126374,"endHours":27.806429713803183,"quality":"inauspicious"},{"name":"Śubha","start":"03:48","end":"05:31","startHours":27.806429713803183,"endHours":29.519601061479996,"quality":"auspicious"},{"name":"Roga","start":"05:31","end":"07:14","startHours":29.519601061479996,"endHours":31.232772409156805,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:14","end":"08:14","startHours":7.232772409156805,"endHours":8.232772409156805,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:14","end":"09:14","startHours":8.232772409156805,"endHours":9.232772409156805,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:14","end":"10:14","startHours":9.232772409156805,"endHours":10.232772409156805,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:14","end":"11:14","startHours":10.232772409156805,"endHours":11.232772409156805,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:14","end":"12:14","startHours":11.232772409156805,"endHours":12.232772409156805,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:14","end":"13:14","startHours":12.232772409156805,"endHours":13.232772409156805,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:14","end":"14:14","startHours":13.232772409156805,"endHours":14.232772409156805,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:14","end":"15:14","startHours":14.232772409156805,"endHours":15.232772409156805,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:14","end":"16:14","startHours":15.232772409156805,"endHours":16.232772409156805,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:14","end":"17:14","startHours":16.232772409156805,"endHours":17.232772409156805,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:14","end":"18:14","startHours":17.232772409156805,"endHours":18.232772409156805,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:14","end":"19:14","startHours":18.232772409156805,"endHours":19.232772409156805,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:14","end":"20:14","startHours":19.232772409156805,"endHours":20.232772409156805,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:14","end":"21:14","startHours":20.232772409156805,"endHours":21.232772409156805,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:14","end":"22:14","startHours":21.232772409156805,"endHours":22.232772409156805,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:14","end":"23:14","startHours":22.232772409156805,"endHours":23.232772409156805,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:14","end":"00:14","startHours":23.232772409156805,"endHours":24.232772409156805,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:14","end":"01:14","startHours":24.232772409156805,"endHours":25.232772409156805,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:14","end":"02:14","startHours":25.232772409156805,"endHours":26.232772409156805,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:14","end":"03:14","startHours":26.232772409156805,"endHours":27.232772409156805,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:14","end":"04:14","startHours":27.232772409156805,"endHours":28.232772409156805,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:14","end":"05:14","startHours":28.232772409156805,"endHours":29.232772409156805,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:14","end":"06:14","startHours":29.232772409156805,"endHours":30.232772409156805,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:14","end":"07:14","startHours":30.232772409156805,"endHours":31.232772409156805,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"South-East","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"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":-22.464532993256864,"eotMinutes":-5.875621106973772,"ayanamsa":24.4818}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Tṛtīyā · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"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":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 6, 2045 CE · Ṛṣikeśa · Vidhyamitra","description":"January 6, 2045 CE for Ṛṣikeśa: Kṛṣṇa Tṛtīyā, sūryodaya 07:14, sūryāsta 17:32.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2045-01-06","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2045-01-06","sa":"https://sa.vidhyamitra.com/city/rishikesh/2045-01-06","hi":"https://hi.vidhyamitra.com/city/rishikesh/2045-01-06","x-default":"https://vidhyamitra.com/city/rishikesh/2045-01-06"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-16T10:16:35.397Z","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":"2026-05-16T10:16:35.397Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-16T10:16:35.397Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}