{"id":"vidhyamitra:city-day:rishikesh:1877-01-02:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1877-01-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1877-01-02","date_display":"January 2, 1877 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":1877,"month":1,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2406621.770833,"kali_year":4978,"ahargana":1818156.2708,"sun":{"sidereal_longitude":259.7612,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":107.4404,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":207.6792,"elapsed_within_tithi_degrees":3.6792},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":107.4404,"elapsed_within_degrees":0.7737},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":7.2015},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":1877,"month":1,"day":2,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2406621.770833,"ahargana":1818156.2708,"kali_year":4978,"ayanamsa_lahiri":22.1349,"grahas":{"sun":{"sidereal_longitude":259.6778079999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":109.84810800000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false,"latitude":2.7619},"mars":{"sidereal_longitude":211.32670800000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":277.51410799999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":238.68450800000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":230.99650799999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":313.1126079999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":325.3312,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":145.3312,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","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":1877,"month":1,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2406621.770833,"kali_year":4978,"ahargana":1818156.2708,"sun":{"sidereal_longitude":259.7612,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":107.4404,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":207.6792,"elapsed_within_tithi_degrees":3.6792},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":107.4404,"elapsed_within_degrees":0.7737},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":7.2015},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.762,"elongation":152.321},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.762,"opposition_distance":27.679}},"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":"07:13","sunsetLocal":"17:29","solarNoonLocal":"12:21","dayLengthHours":10.253471232909511,"dayLengthDisplay":"10 Hours 15 Mins 12 Secs","nightLengthDisplay":"13 Hours 44 Mins 48 Secs","moonriseLocal":"19:38","moonsetLocal":"09:06","rahuKala":{"name":"Rāhu Kāla","start":"14:55","end":"16:12","startHours":14.91468964298327,"endHours":16.196373547096957,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:47","end":"11:04","startHours":9.787954026528514,"endHours":11.069637930642202,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:21","end":"13:38","startHours":12.35132183475589,"endHours":13.63300573886958,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:58","startHours":9.617062839313354,"endHours":9.958845213743672,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:39","end":"07:56","startHours":7.651814186339031,"endHours":7.925240085883285,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:01","end":"12:42","startHours":12.009539460325573,"endHours":12.693104209186206,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:51","end":"06:32","startHours":5.857456720579867,"endHours":6.5410214694405004,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:22","end":"07:13","startHours":6.370130282225342,"endHours":7.224586218301135,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:04","end":"14:45","startHours":14.060233706907475,"endHours":14.74379845576811,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:17","end":"17:41","startHours":17.278057451210646,"endHours":17.678057451210645,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:29","end":"17:54","startHours":17.478057451210645,"endHours":17.905285419248543,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:14","end":"18:59","startHours":17.228057451210645,"endHours":18.978057451210645,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:01","end":"00:42","startHours":24.009539460325573,"endHours":24.693104209186206,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:13","end":"08:30","startHours":7.224586218301135,"endHours":8.506270122414824,"quality":"inauspicious"},{"name":"Udveg","start":"08:30","end":"09:47","startHours":8.506270122414824,"endHours":9.787954026528514,"quality":"inauspicious"},{"name":"Chala","start":"09:47","end":"11:04","startHours":9.787954026528514,"endHours":11.069637930642202,"quality":"neutral"},{"name":"Labha","start":"11:04","end":"12:21","startHours":11.069637930642202,"endHours":12.35132183475589,"quality":"auspicious"},{"name":"Amṛta","start":"12:21","end":"13:38","startHours":12.35132183475589,"endHours":13.63300573886958,"quality":"auspicious"},{"name":"Kāla","start":"13:38","end":"14:55","startHours":13.63300573886958,"endHours":14.91468964298327,"quality":"inauspicious"},{"name":"Śubha","start":"14:55","end":"16:12","startHours":14.91468964298327,"endHours":16.196373547096957,"quality":"auspicious"},{"name":"Roga","start":"16:12","end":"17:29","startHours":16.196373547096957,"endHours":17.478057451210645,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:29","end":"19:12","startHours":17.478057451210645,"endHours":19.196373547096957,"quality":"inauspicious"},{"name":"Śubha","start":"19:12","end":"20:55","startHours":19.196373547096957,"endHours":20.91468964298327,"quality":"auspicious"},{"name":"Roga","start":"20:55","end":"22:38","startHours":20.91468964298327,"endHours":22.633005738869578,"quality":"inauspicious"},{"name":"Udveg","start":"22:38","end":"00:21","startHours":22.633005738869578,"endHours":24.35132183475589,"quality":"inauspicious"},{"name":"Chala","start":"00:21","end":"02:04","startHours":24.35132183475589,"endHours":26.0696379306422,"quality":"neutral"},{"name":"Labha","start":"02:04","end":"03:47","startHours":26.0696379306422,"endHours":27.78795402652851,"quality":"auspicious"},{"name":"Amṛta","start":"03:47","end":"05:30","startHours":27.78795402652851,"endHours":29.506270122414822,"quality":"auspicious"},{"name":"Kāla","start":"05:30","end":"07:13","startHours":29.506270122414822,"endHours":31.224586218301134,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:13","end":"08:13","startHours":7.224586218301135,"endHours":8.224586218301134,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:13","end":"09:13","startHours":8.224586218301134,"endHours":9.224586218301134,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:13","end":"10:13","startHours":9.224586218301134,"endHours":10.224586218301134,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:13","end":"11:13","startHours":10.224586218301134,"endHours":11.224586218301134,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:13","end":"12:13","startHours":11.224586218301134,"endHours":12.224586218301134,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:13","end":"13:13","startHours":12.224586218301134,"endHours":13.224586218301134,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:13","end":"14:13","startHours":13.224586218301134,"endHours":14.224586218301134,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:13","end":"15:13","startHours":14.224586218301134,"endHours":15.224586218301134,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:13","end":"16:13","startHours":15.224586218301134,"endHours":16.224586218301134,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:13","end":"17:13","startHours":16.224586218301134,"endHours":17.224586218301134,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:13","end":"18:13","startHours":17.224586218301134,"endHours":18.224586218301134,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:13","end":"19:13","startHours":18.224586218301134,"endHours":19.224586218301134,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:13","end":"20:13","startHours":19.224586218301134,"endHours":20.224586218301134,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:13","end":"21:13","startHours":20.224586218301134,"endHours":21.224586218301134,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:13","end":"22:13","startHours":21.224586218301134,"endHours":22.224586218301134,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:13","end":"23:13","startHours":22.224586218301134,"endHours":23.224586218301134,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:13","end":"00:13","startHours":23.224586218301134,"endHours":24.224586218301134,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:13","end":"01:13","startHours":24.224586218301134,"endHours":25.224586218301134,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:13","end":"02:13","startHours":25.224586218301134,"endHours":26.224586218301134,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:13","end":"03:13","startHours":26.224586218301134,"endHours":27.224586218301134,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:13","end":"04:13","startHours":27.224586218301134,"endHours":28.224586218301134,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:13","end":"05:13","startHours":28.224586218301134,"endHours":29.224586218301134,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:13","end":"06:13","startHours":29.224586218301134,"endHours":30.224586218301134,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:13","end":"07:13","startHours":30.224586218301134,"endHours":31.224586218301134,"planetary_lord":"Saturn"}],"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":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Mṛtyu","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":-22.911528010016042,"eotMinutes":-4.149710085353452,"ayanamsa":22.1349}},"calendars":{"vikram_samvat":1934,"vikram_samvatsara":"Vikṛti","saka_samvat":1799,"saka_samvatsara":"Īśvara","bengali_samvat":1284,"malayalam_era":1053,"nanakshahi_year":408,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","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":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Tṛtīyā · Vikram 1934 Vikṛti · Śaka 1799 Īśvara"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 2, 1877 CE · Ṛṣikeśa · Vidhyamitra","description":"January 2, 1877 CE for Ṛṣikeśa: Kṛṣṇa Tṛtīyā, sūryodaya 07:13, sūryāsta 17:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1877-01-02","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1877-01-02","sa":"https://sa.vidhyamitra.com/city/rishikesh/1877-01-02","hi":"https://hi.vidhyamitra.com/city/rishikesh/1877-01-02","x-default":"https://vidhyamitra.com/city/rishikesh/1877-01-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T10:50:56.901Z","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":"2026-05-31T10:50:56.901Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T10:50:56.901Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}