{"id":"vidhyamitra:city-day:rishikesh:2102-01-28:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2102-01-28","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2102-01-28","date_display":"January 28, 2102 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":2102,"month":1,"day":28,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488826.770833,"kali_year":5203,"ahargana":1900361.2708,"sun":{"sidereal_longitude":282.1193,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":31.4237,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":109.3044,"elapsed_within_tithi_degrees":1.3044},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2,"moon_longitude":31.4237,"elapsed_within_degrees":4.757},"yoga":{"number":24,"name":"Śukla","sum_longitude":313.543},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2102,"month":1,"day":28,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2488826.770833,"ahargana":1900361.2708,"kali_year":5203,"ayanamsa_lahiri":25.2789,"grahas":{"sun":{"sidereal_longitude":282.38217299999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"moon":{"sidereal_longitude":34.27417300000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false,"latitude":4.4062},"mars":{"sidereal_longitude":45.47287299999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":256.148873,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":231.10087299999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":238.06707299999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":203.17297299999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":289.7147,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":109.7147,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":2102,"month":1,"day":28,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488826.770833,"kali_year":5203,"ahargana":1900361.2708,"sun":{"sidereal_longitude":282.1193,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":31.4237,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":109.3044,"elapsed_within_tithi_degrees":1.3044},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2,"moon_longitude":31.4237,"elapsed_within_degrees":4.757},"yoga":{"number":24,"name":"Śukla","sum_longitude":313.543},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.406,"elongation":109.304},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.406,"opposition_distance":70.696}},"eclipse_window_40days":[{"offset_days":-9,"type":"solar","occurs":true,"moon_latitude":-1.366,"elongation":0.393},{"offset_days":6,"type":"lunar","occurs":true,"moon_latitude":0.307,"opposition_distance":2.772}]},"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":"07:10","sunsetLocal":"17:50","solarNoonLocal":"12:30","dayLengthHours":10.660094141769505,"dayLengthDisplay":"10 Hours 39 Mins 36 Secs","nightLengthDisplay":"13 Hours 20 Mins 24 Secs","moonriseLocal":"13:06","moonsetLocal":"02:49","rahuKala":{"name":"Rāhu Kāla","start":"09:50","end":"11:10","startHours":9.833380331805387,"endHours":11.165892099526577,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:50","end":"15:10","startHours":13.830915634968953,"endHours":15.16342740269014,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:10","end":"08:30","startHours":7.168356796363011,"endHours":8.5008685640842,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:01","startHours":9.65571209610923,"endHours":10.011048567501547,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.612527385603407,"endHours":7.8967965627172605,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:51","startHours":12.143067395855446,"endHours":12.85374033864008,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:45","end":"06:27","startHours":5.747010910793744,"endHours":6.457683853578377,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:17","end":"07:10","startHours":6.280015617882219,"endHours":7.168356796363011,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:17","end":"14:59","startHours":14.275086224209348,"endHours":14.985759166993981,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:38","end":"18:02","startHours":17.628450938132517,"endHours":18.028450938132515,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:50","end":"18:16","startHours":17.828450938132516,"endHours":18.272621527372912,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:35","end":"19:20","startHours":17.578450938132516,"endHours":19.328450938132516,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:51","startHours":24.143067395855446,"endHours":24.85374033864008,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:10","end":"08:30","startHours":7.168356796363011,"endHours":8.5008685640842,"quality":"inauspicious"},{"name":"Śubha","start":"08:30","end":"09:50","startHours":8.5008685640842,"endHours":9.833380331805387,"quality":"auspicious"},{"name":"Roga","start":"09:50","end":"11:10","startHours":9.833380331805387,"endHours":11.165892099526577,"quality":"inauspicious"},{"name":"Udveg","start":"11:10","end":"12:30","startHours":11.165892099526577,"endHours":12.498403867247763,"quality":"inauspicious"},{"name":"Chala","start":"12:30","end":"13:50","startHours":12.498403867247763,"endHours":13.830915634968953,"quality":"neutral"},{"name":"Labha","start":"13:50","end":"15:10","startHours":13.830915634968953,"endHours":15.16342740269014,"quality":"auspicious"},{"name":"Amṛta","start":"15:10","end":"16:30","startHours":15.16342740269014,"endHours":16.49593917041133,"quality":"auspicious"},{"name":"Kāla","start":"16:30","end":"17:50","startHours":16.49593917041133,"endHours":17.828450938132516,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:50","end":"19:30","startHours":17.828450938132516,"endHours":19.495939170411326,"quality":"auspicious"},{"name":"Amṛta","start":"19:30","end":"21:10","startHours":19.495939170411326,"endHours":21.16342740269014,"quality":"auspicious"},{"name":"Kāla","start":"21:10","end":"22:50","startHours":21.16342740269014,"endHours":22.830915634968953,"quality":"inauspicious"},{"name":"Śubha","start":"22:50","end":"00:30","startHours":22.830915634968953,"endHours":24.498403867247763,"quality":"auspicious"},{"name":"Roga","start":"00:30","end":"02:10","startHours":24.498403867247763,"endHours":26.165892099526573,"quality":"inauspicious"},{"name":"Udveg","start":"02:10","end":"03:50","startHours":26.165892099526573,"endHours":27.833380331805387,"quality":"inauspicious"},{"name":"Chala","start":"03:50","end":"05:30","startHours":27.833380331805387,"endHours":29.5008685640842,"quality":"neutral"},{"name":"Labha","start":"05:30","end":"07:10","startHours":29.5008685640842,"endHours":31.16835679636301,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.168356796363011,"endHours":8.16835679636301,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.16835679636301,"endHours":9.16835679636301,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.16835679636301,"endHours":10.16835679636301,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.16835679636301,"endHours":11.16835679636301,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.16835679636301,"endHours":12.16835679636301,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.16835679636301,"endHours":13.16835679636301,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.16835679636301,"endHours":14.16835679636301,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.16835679636301,"endHours":15.16835679636301,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.16835679636301,"endHours":16.16835679636301,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.16835679636301,"endHours":17.16835679636301,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.16835679636301,"endHours":18.16835679636301,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.16835679636301,"endHours":19.16835679636301,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.16835679636301,"endHours":20.16835679636301,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.16835679636301,"endHours":21.16835679636301,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.16835679636301,"endHours":22.16835679636301,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.16835679636301,"endHours":23.16835679636301,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.16835679636301,"endHours":24.16835679636301,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.16835679636301,"endHours":25.16835679636301,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.16835679636301,"endHours":26.16835679636301,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.16835679636301,"endHours":27.16835679636301,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.16835679636301,"endHours":28.16835679636301,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.16835679636301,"endHours":29.16835679636301,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.16835679636301,"endHours":30.16835679636301,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.16835679636301,"endHours":31.16835679636301,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"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":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"drikRitu":"Śiśira (Winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-18.35238997884397,"eotMinutes":-12.974632034865841,"ayanamsa":25.2789}},"calendars":{"vikram_samvat":2159,"vikram_samvatsara":"Yuva","saka_samvat":2024,"saka_samvatsara":"Dundubhi","bengali_samvat":1509,"malayalam_era":1278,"nanakshahi_year":633,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Daśamī · Vikram 2159 Yuva · Śaka 2024 Dundubhi"},"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":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","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 28, 2102 CE · Ṛṣikeśa · Vidhyamitra","description":"January 28, 2102 CE for Ṛṣikeśa: Śukla Daśamī, sūryodaya 07:10, sūryāsta 17:50.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2102-01-28","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2102-01-28","sa":"https://sa.vidhyamitra.com/city/rishikesh/2102-01-28","hi":"https://hi.vidhyamitra.com/city/rishikesh/2102-01-28","x-default":"https://vidhyamitra.com/city/rishikesh/2102-01-28"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-20T23:33:22.336Z","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":"2026-05-20T23:33:22.336Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-20T23:33:22.336Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}