{"id":"vidhyamitra:city-day:rishikesh:2103-01-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2103-01-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2103-01-29","date_display":"January 29, 2103 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":2103,"month":1,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489192.770833,"kali_year":5204,"ahargana":1900727.2708,"sun":{"sidereal_longitude":282.8782,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":169.6454,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":246.7672,"elapsed_within_tithi_degrees":6.7672},"nakshatra":{"number":13,"name":"Hasta","pada":3,"moon_longitude":169.6454,"elapsed_within_degrees":9.6454},"yoga":{"number":7,"name":"Sukarma","sum_longitude":92.5235},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2103,"month":1,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489192.770833,"ahargana":1900727.2708,"kali_year":5204,"ayanamsa_lahiri":25.2929,"grahas":{"sun":{"sidereal_longitude":283.137389,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"moon":{"sidereal_longitude":165.80558900000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false,"latitude":-4.4219},"mars":{"sidereal_longitude":262.509189,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":262.8326890000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":257.0343889999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":310.823989,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":214.16518900000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":270.3223,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":90.3223,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"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":2103,"month":1,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489192.770833,"kali_year":5204,"ahargana":1900727.2708,"sun":{"sidereal_longitude":282.8782,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":169.6454,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":246.7672,"elapsed_within_tithi_degrees":6.7672},"nakshatra":{"number":13,"name":"Hasta","pada":3,"moon_longitude":169.6454,"elapsed_within_degrees":9.6454},"yoga":{"number":7,"name":"Sukarma","sum_longitude":92.5235},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.422,"elongation":113.233},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.422,"opposition_distance":66.767}},"eclipse_window_40days":[{"offset_days":-20,"type":"solar","occurs":true,"moon_latitude":-0.501,"elongation":2.631},{"offset_days":-6,"type":"lunar","occurs":true,"moon_latitude":-0.361,"opposition_distance":1.481}]},"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":10.677204175651198,"dayLengthDisplay":"10 Hours 40 Mins 38 Secs","nightLengthDisplay":"13 Hours 19 Mins 22 Secs","moonriseLocal":"22:48","moonsetLocal":"10:33","rahuKala":{"name":"Rāhu Kāla","start":"08:30","end":"09:50","startHours":8.497743800342704,"endHours":9.832394322299105,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:10","end":"12:30","startHours":11.167044844255503,"endHours":12.501695366211905,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:50","end":"15:10","startHours":13.836345888168303,"endHours":15.170996410124705,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:01","startHours":9.654440919371584,"endHours":10.010347725226625,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:36","end":"07:54","startHours":7.607976785705105,"endHours":7.892702230389137,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:51","startHours":12.145788560356864,"endHours":12.857602172066946,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:44","end":"06:27","startHours":5.739466054966146,"endHours":6.451279666676225,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:16","end":"07:10","startHours":6.2733262637487055,"endHours":7.163093278386305,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:17","end":"15:00","startHours":14.281229395487102,"endHours":14.993043007197182,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:38","end":"18:02","startHours":17.640297454037505,"endHours":18.040297454037503,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:50","end":"18:17","startHours":17.840297454037504,"endHours":18.285180961356303,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:35","end":"19:20","startHours":17.590297454037504,"endHours":19.340297454037504,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:51","startHours":24.145788560356866,"endHours":24.857602172066944,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:10","end":"08:30","startHours":7.163093278386305,"endHours":8.497743800342704,"quality":"auspicious"},{"name":"Kāla","start":"08:30","end":"09:50","startHours":8.497743800342704,"endHours":9.832394322299105,"quality":"inauspicious"},{"name":"Śubha","start":"09:50","end":"11:10","startHours":9.832394322299105,"endHours":11.167044844255503,"quality":"auspicious"},{"name":"Roga","start":"11:10","end":"12:30","startHours":11.167044844255503,"endHours":12.501695366211905,"quality":"inauspicious"},{"name":"Udveg","start":"12:30","end":"13:50","startHours":12.501695366211905,"endHours":13.836345888168303,"quality":"inauspicious"},{"name":"Chala","start":"13:50","end":"15:10","startHours":13.836345888168303,"endHours":15.170996410124705,"quality":"neutral"},{"name":"Labha","start":"15:10","end":"16:30","startHours":15.170996410124705,"endHours":16.505646932081103,"quality":"auspicious"},{"name":"Amṛta","start":"16:30","end":"17:50","startHours":16.505646932081103,"endHours":17.840297454037504,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:50","end":"19:30","startHours":17.840297454037504,"endHours":19.505646932081106,"quality":"neutral"},{"name":"Labha","start":"19:30","end":"21:10","startHours":19.505646932081106,"endHours":21.170996410124705,"quality":"auspicious"},{"name":"Amṛta","start":"21:10","end":"22:50","startHours":21.170996410124705,"endHours":22.836345888168303,"quality":"auspicious"},{"name":"Kāla","start":"22:50","end":"00:30","startHours":22.836345888168303,"endHours":24.501695366211905,"quality":"inauspicious"},{"name":"Śubha","start":"00:30","end":"02:10","startHours":24.501695366211905,"endHours":26.167044844255507,"quality":"auspicious"},{"name":"Roga","start":"02:10","end":"03:50","startHours":26.167044844255507,"endHours":27.832394322299105,"quality":"inauspicious"},{"name":"Udveg","start":"03:50","end":"05:30","startHours":27.832394322299105,"endHours":29.497743800342704,"quality":"inauspicious"},{"name":"Chala","start":"05:30","end":"07:10","startHours":29.497743800342704,"endHours":31.163093278386306,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.163093278386305,"endHours":8.163093278386306,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.163093278386306,"endHours":9.163093278386306,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.163093278386306,"endHours":10.163093278386306,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.163093278386306,"endHours":11.163093278386306,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.163093278386306,"endHours":12.163093278386306,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.163093278386306,"endHours":13.163093278386306,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.163093278386306,"endHours":14.163093278386306,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.163093278386306,"endHours":15.163093278386306,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.163093278386306,"endHours":16.163093278386306,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.163093278386306,"endHours":17.163093278386306,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.163093278386306,"endHours":18.163093278386306,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.163093278386306,"endHours":19.163093278386306,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.163093278386306,"endHours":20.163093278386306,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.163093278386306,"endHours":21.163093278386306,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.163093278386306,"endHours":22.163093278386306,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.163093278386306,"endHours":23.163093278386306,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.163093278386306,"endHours":24.163093278386306,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.163093278386306,"endHours":25.163093278386306,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.163093278386306,"endHours":26.163093278386306,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.163093278386306,"endHours":27.163093278386306,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.163093278386306,"endHours":28.163093278386306,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.163093278386306,"endHours":29.163093278386306,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.163093278386306,"endHours":30.163093278386306,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.163093278386306,"endHours":31.163093278386306,"planetary_lord":"Venus"}],"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","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"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":-18.153852332852416,"eotMinutes":-13.172121972714217,"ayanamsa":25.2929}},"calendars":{"vikram_samvat":2160,"vikram_samvatsara":"Dhātṛ","saka_samvat":2025,"saka_samvatsara":"Rudhirodgāri","bengali_samvat":1510,"malayalam_era":1279,"nanakshahi_year":634,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Ṣaṣṭhī · Vikram 2160 Dhātṛ · Śaka 2025 Rudhirodgāri"},"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":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 29, 2103 CE · Ṛṣikeśa · Vidhyamitra","description":"January 29, 2103 CE for Ṛṣikeśa: Kṛṣṇa Ṣaṣṭhī, sūryodaya 07:10, sūryāsta 17:50.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2103-01-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2103-01-29","sa":"https://sa.vidhyamitra.com/city/rishikesh/2103-01-29","hi":"https://hi.vidhyamitra.com/city/rishikesh/2103-01-29","x-default":"https://vidhyamitra.com/city/rishikesh/2103-01-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-20T23:33:23.539Z","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":"2026-05-20T23:33:23.539Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-20T23:33:23.539Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}