{"id":"vidhyamitra:city-day:rishikesh:1871-10-02:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1871-10-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1871-10-02","date_display":"October 2, 1871 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":1871,"month":10,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2404702.770833,"kali_year":4973,"ahargana":1816237.2708,"sun":{"sidereal_longitude":165.9059,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":26.994,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":221.0881,"elapsed_within_tithi_degrees":5.0881},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":26.994,"elapsed_within_degrees":0.3273},"yoga":{"number":15,"name":"Vajra","sum_longitude":192.8999},"karana":{"half_tithi_index":36,"name":"Bava"},"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":1871,"month":10,"day":2,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2404702.770833,"ahargana":1816237.2708,"kali_year":4973,"ayanamsa_lahiri":22.0615,"grahas":{"sun":{"sidereal_longitude":166.34092799999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"moon":{"sidereal_longitude":25.089128000000017,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false,"latitude":-2.8917},"mars":{"sidereal_longitude":223.039128,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":150.415328,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":95.97722799999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"venus":{"sidereal_longitude":159.31512799999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":true},"saturn":{"sidereal_longitude":252.77442799999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":67.009,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":247.009,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"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":1871,"month":10,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2404702.770833,"kali_year":4973,"ahargana":1816237.2708,"sun":{"sidereal_longitude":165.9059,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":26.994,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":221.0881,"elapsed_within_tithi_degrees":5.0881},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":26.994,"elapsed_within_degrees":0.3273},"yoga":{"number":15,"name":"Vajra","sum_longitude":192.8999},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.892,"elongation":138.912},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.892,"opposition_distance":41.088}},"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":"06:09","sunsetLocal":"18:02","solarNoonLocal":"12:05","dayLengthHours":11.870893877384338,"dayLengthDisplay":"11 Hours 52 Mins 15 Secs","nightLengthDisplay":"12 Hours 07 Mins 45 Secs","moonriseLocal":"19:57","moonsetLocal":"09:24","rahuKala":{"name":"Rāhu Kāla","start":"07:38","end":"09:07","startHours":7.639167463783575,"endHours":9.123029198456617,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:36","end":"12:05","startHours":10.606890933129659,"endHours":12.0907526678027,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:34","end":"15:04","startHours":13.574614402475744,"endHours":15.058476137148785,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:56","end":"09:19","startHours":8.925180967166877,"endHours":9.320877429746355,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:39","end":"06:58","startHours":6.64992630733488,"endHours":6.966483477398462,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:42","end":"12:29","startHours":11.695056205223224,"endHours":12.48644913038218,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:34","end":"05:22","startHours":4.572519878792621,"endHours":5.363912803951576,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:10","end":"06:09","startHours":5.1660645726618375,"endHours":6.155305729110532,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:04","end":"14:52","startHours":14.069234980700092,"endHours":14.860627905859047,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:50","end":"18:14","startHours":17.82619960649487,"endHours":18.22619960649487,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:02","end":"18:31","startHours":18.02619960649487,"endHours":18.520820184719216,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:47","end":"19:32","startHours":17.77619960649487,"endHours":19.52619960649487,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:42","end":"00:29","startHours":23.695056205223224,"endHours":24.486449130382184,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:09","end":"07:38","startHours":6.155305729110532,"endHours":7.639167463783575,"quality":"auspicious"},{"name":"Kāla","start":"07:38","end":"09:07","startHours":7.639167463783575,"endHours":9.123029198456617,"quality":"inauspicious"},{"name":"Śubha","start":"09:07","end":"10:36","startHours":9.123029198456617,"endHours":10.606890933129659,"quality":"auspicious"},{"name":"Roga","start":"10:36","end":"12:05","startHours":10.606890933129659,"endHours":12.0907526678027,"quality":"inauspicious"},{"name":"Udveg","start":"12:05","end":"13:34","startHours":12.0907526678027,"endHours":13.574614402475744,"quality":"inauspicious"},{"name":"Chala","start":"13:34","end":"15:04","startHours":13.574614402475744,"endHours":15.058476137148785,"quality":"neutral"},{"name":"Labha","start":"15:04","end":"16:33","startHours":15.058476137148785,"endHours":16.54233787182183,"quality":"auspicious"},{"name":"Amṛta","start":"16:33","end":"18:02","startHours":16.54233787182183,"endHours":18.02619960649487,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:02","end":"19:33","startHours":18.02619960649487,"endHours":19.54233787182183,"quality":"neutral"},{"name":"Labha","start":"19:33","end":"21:04","startHours":19.54233787182183,"endHours":21.058476137148787,"quality":"auspicious"},{"name":"Amṛta","start":"21:04","end":"22:34","startHours":21.058476137148787,"endHours":22.574614402475746,"quality":"auspicious"},{"name":"Kāla","start":"22:34","end":"00:05","startHours":22.574614402475746,"endHours":24.0907526678027,"quality":"inauspicious"},{"name":"Śubha","start":"00:05","end":"01:36","startHours":24.0907526678027,"endHours":25.60689093312966,"quality":"auspicious"},{"name":"Roga","start":"01:36","end":"03:07","startHours":25.60689093312966,"endHours":27.123029198456617,"quality":"inauspicious"},{"name":"Udveg","start":"03:07","end":"04:38","startHours":27.123029198456617,"endHours":28.639167463783572,"quality":"inauspicious"},{"name":"Chala","start":"04:38","end":"06:09","startHours":28.639167463783572,"endHours":30.15530572911053,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:09","end":"07:09","startHours":6.155305729110532,"endHours":7.155305729110532,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:09","end":"08:09","startHours":7.155305729110532,"endHours":8.155305729110532,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:09","end":"09:09","startHours":8.155305729110532,"endHours":9.155305729110532,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:09","end":"10:09","startHours":9.155305729110532,"endHours":10.155305729110532,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:09","end":"11:09","startHours":10.155305729110532,"endHours":11.155305729110532,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:09","end":"12:09","startHours":11.155305729110532,"endHours":12.155305729110532,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:09","end":"13:09","startHours":12.155305729110532,"endHours":13.155305729110532,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:09","end":"14:09","startHours":13.155305729110532,"endHours":14.155305729110532,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:09","end":"15:09","startHours":14.155305729110532,"endHours":15.155305729110532,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:09","end":"16:09","startHours":15.155305729110532,"endHours":16.15530572911053,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:09","end":"17:09","startHours":16.15530572911053,"endHours":17.15530572911053,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:09","end":"18:09","startHours":17.15530572911053,"endHours":18.15530572911053,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:09","end":"19:09","startHours":18.15530572911053,"endHours":19.15530572911053,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:09","end":"20:09","startHours":19.15530572911053,"endHours":20.15530572911053,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:09","end":"21:09","startHours":20.15530572911053,"endHours":21.15530572911053,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:09","end":"22:09","startHours":21.15530572911053,"endHours":22.15530572911053,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:09","end":"23:09","startHours":22.15530572911053,"endHours":23.15530572911053,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:09","end":"00:09","startHours":23.15530572911053,"endHours":24.15530572911053,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:09","end":"01:09","startHours":24.15530572911053,"endHours":25.15530572911053,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:09","end":"02:09","startHours":25.15530572911053,"endHours":26.15530572911053,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:09","end":"03:09","startHours":26.15530572911053,"endHours":27.15530572911053,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:09","end":"04:09","startHours":27.15530572911053,"endHours":28.15530572911053,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:09","end":"05:09","startHours":28.15530572911053,"endHours":29.15530572911053,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:09","end":"06:09","startHours":29.15530572911053,"endHours":30.15530572911053,"planetary_lord":"Venus"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Dhvaja","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-3.33183005767942,"eotMinutes":11.484439931837855,"ayanamsa":22.0615}},"calendars":{"vikram_samvat":1928,"vikram_samvatsara":"Tāraṇa","saka_samvat":1793,"saka_samvatsara":"Prajāpati","bengali_samvat":1278,"malayalam_era":1047,"nanakshahi_year":402,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Caturthī · Vikram 1928 Tāraṇa · Śaka 1793 Prajāpati"},"festivals":[{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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":[{"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 October 2, 1871 CE · Ṛṣikeśa · Vidhyamitra","description":"October 2, 1871 CE for Ṛṣikeśa: Kṛṣṇa Caturthī, sūryodaya 06:09, sūryāsta 18:02.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1871-10-02","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1871-10-02","sa":"https://sa.vidhyamitra.com/city/rishikesh/1871-10-02","hi":"https://hi.vidhyamitra.com/city/rishikesh/1871-10-02","x-default":"https://vidhyamitra.com/city/rishikesh/1871-10-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T20:59:54.523Z","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":"2026-06-01T20:59:54.523Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T20:59:54.523Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}