{"id":"vidhyamitra:city-day:rishikesh:2112-10-10:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2112-10-10","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2112-10-10","date_display":"October 10, 2112 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":2112,"month":10,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2492734.770833,"kali_year":5214,"ahargana":1904269.2708,"sun":{"sidereal_longitude":170.4828,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":47.3836,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":236.9008,"elapsed_within_tithi_degrees":8.9008},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3,"moon_longitude":47.3836,"elapsed_within_degrees":7.3836},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":217.8663},"karana":{"half_tithi_index":39,"name":"Taitila"},"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":2112,"month":10,"day":10,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2492734.770833,"ahargana":1904269.2708,"kali_year":5214,"ayanamsa_lahiri":25.4284,"grahas":{"sun":{"sidereal_longitude":171.49885799999993,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"moon":{"sidereal_longitude":50.26705800000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false,"latitude":-2.5964},"mars":{"sidereal_longitude":270.081358,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":194.77875799999993,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":186.54265799999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":208.618158,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":314.319658,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":82.65,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":262.65,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":2112,"month":10,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2492734.770833,"kali_year":5214,"ahargana":1904269.2708,"sun":{"sidereal_longitude":170.4828,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":47.3836,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":236.9008,"elapsed_within_tithi_degrees":8.9008},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3,"moon_longitude":47.3836,"elapsed_within_degrees":7.3836},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":217.8663},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.596,"elongation":123.099},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.596,"opposition_distance":56.901}},"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":"06:15","sunsetLocal":"17:52","solarNoonLocal":"12:03","dayLengthHours":11.613035282077053,"dayLengthDisplay":"11 Hours 36 Mins 47 Secs","nightLengthDisplay":"12 Hours 23 Mins 13 Secs","moonriseLocal":"20:59","moonsetLocal":"10:57","rahuKala":{"name":"Rāhu Kāla","start":"07:42","end":"09:09","startHours":7.698214334688277,"endHours":9.149843744947908,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:36","end":"12:03","startHours":10.60147315520754,"endHours":12.05310256546717,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:30","end":"14:57","startHours":13.504731975726802,"endHours":14.956361385986437,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:57","end":"09:21","startHours":8.95629315691329,"endHours":9.343394332982527,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:44","end":"07:02","startHours":6.7304613945151885,"endHours":7.040142335370577,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:40","end":"12:26","startHours":11.666001389397938,"endHours":12.440203741536408,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:42","end":"05:28","startHours":4.698180220151705,"endHours":5.472382572290175,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:17","end":"06:15","startHours":5.278831984255557,"endHours":6.246584924428645,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:59","end":"14:46","startHours":13.988608445813348,"endHours":14.762810797951818,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:40","end":"18:04","startHours":17.6596202065057,"endHours":18.0596202065057,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:52","end":"18:21","startHours":17.8596202065057,"endHours":18.343496676592242,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:37","end":"19:22","startHours":17.6096202065057,"endHours":19.3596202065057,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:40","end":"00:26","startHours":23.666001389397934,"endHours":24.440203741536408,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:15","end":"07:42","startHours":6.246584924428645,"endHours":7.698214334688277,"quality":"auspicious"},{"name":"Kāla","start":"07:42","end":"09:09","startHours":7.698214334688277,"endHours":9.149843744947908,"quality":"inauspicious"},{"name":"Śubha","start":"09:09","end":"10:36","startHours":9.149843744947908,"endHours":10.60147315520754,"quality":"auspicious"},{"name":"Roga","start":"10:36","end":"12:03","startHours":10.60147315520754,"endHours":12.05310256546717,"quality":"inauspicious"},{"name":"Udveg","start":"12:03","end":"13:30","startHours":12.05310256546717,"endHours":13.504731975726802,"quality":"inauspicious"},{"name":"Chala","start":"13:30","end":"14:57","startHours":13.504731975726802,"endHours":14.956361385986437,"quality":"neutral"},{"name":"Labha","start":"14:57","end":"16:24","startHours":14.956361385986437,"endHours":16.407990796246068,"quality":"auspicious"},{"name":"Amṛta","start":"16:24","end":"17:52","startHours":16.407990796246068,"endHours":17.8596202065057,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:52","end":"19:24","startHours":17.8596202065057,"endHours":19.407990796246068,"quality":"neutral"},{"name":"Labha","start":"19:24","end":"20:57","startHours":19.407990796246068,"endHours":20.956361385986437,"quality":"auspicious"},{"name":"Amṛta","start":"20:57","end":"22:30","startHours":20.956361385986437,"endHours":22.504731975726806,"quality":"auspicious"},{"name":"Kāla","start":"22:30","end":"00:03","startHours":22.504731975726806,"endHours":24.05310256546717,"quality":"inauspicious"},{"name":"Śubha","start":"00:03","end":"01:36","startHours":24.05310256546717,"endHours":25.601473155207543,"quality":"auspicious"},{"name":"Roga","start":"01:36","end":"03:09","startHours":25.601473155207543,"endHours":27.14984374494791,"quality":"inauspicious"},{"name":"Udveg","start":"03:09","end":"04:42","startHours":27.14984374494791,"endHours":28.698214334688277,"quality":"inauspicious"},{"name":"Chala","start":"04:42","end":"06:15","startHours":28.698214334688277,"endHours":30.246584924428646,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:15","end":"07:15","startHours":6.246584924428645,"endHours":7.246584924428645,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:15","end":"08:15","startHours":7.246584924428645,"endHours":8.246584924428646,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:15","end":"09:15","startHours":8.246584924428646,"endHours":9.246584924428646,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:15","end":"10:15","startHours":9.246584924428646,"endHours":10.246584924428646,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:15","end":"11:15","startHours":10.246584924428646,"endHours":11.246584924428646,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:15","end":"12:15","startHours":11.246584924428646,"endHours":12.246584924428646,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:15","end":"13:15","startHours":12.246584924428646,"endHours":13.246584924428646,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:15","end":"14:15","startHours":13.246584924428646,"endHours":14.246584924428646,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:15","end":"15:15","startHours":14.246584924428646,"endHours":15.246584924428646,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:15","end":"16:15","startHours":15.246584924428646,"endHours":16.246584924428646,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:15","end":"17:15","startHours":16.246584924428646,"endHours":17.246584924428646,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:15","end":"18:15","startHours":17.246584924428646,"endHours":18.246584924428646,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:15","end":"19:15","startHours":18.246584924428646,"endHours":19.246584924428646,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:15","end":"20:15","startHours":19.246584924428646,"endHours":20.246584924428646,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:15","end":"21:15","startHours":20.246584924428646,"endHours":21.246584924428646,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:15","end":"22:15","startHours":21.246584924428646,"endHours":22.246584924428646,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:15","end":"23:15","startHours":22.246584924428646,"endHours":23.246584924428646,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:15","end":"00:15","startHours":23.246584924428646,"endHours":24.246584924428646,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:15","end":"01:15","startHours":24.246584924428646,"endHours":25.246584924428646,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:15","end":"02:15","startHours":25.246584924428646,"endHours":26.246584924428646,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:15","end":"03:15","startHours":26.246584924428646,"endHours":27.246584924428646,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:15","end":"04:15","startHours":27.246584924428646,"endHours":28.246584924428646,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:15","end":"05:15","startHours":28.246584924428646,"endHours":29.246584924428646,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:15","end":"06:15","startHours":29.246584924428646,"endHours":30.246584924428646,"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Śrīvatsa","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":-6.649927564860843,"eotMinutes":13.743446071969673,"ayanamsa":25.4284}},"calendars":{"vikram_samvat":2169,"vikram_samvatsara":"Pārthiva","saka_samvat":2034,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1519,"malayalam_era":1288,"nanakshahi_year":643,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Āśvina","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":"Kārtika Kṛṣṇa Pañcamī · Vikram 2169 Pārthiva · Śaka 2034 Aṅgirasa"},"festivals":[],"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":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","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 10, 2112 CE · Ṛṣikeśa · Vidhyamitra","description":"October 10, 2112 CE for Ṛṣikeśa: Kṛṣṇa Pañcamī, sūryodaya 06:15, sūryāsta 17:52.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2112-10-10","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2112-10-10","sa":"https://sa.vidhyamitra.com/city/rishikesh/2112-10-10","hi":"https://hi.vidhyamitra.com/city/rishikesh/2112-10-10","x-default":"https://vidhyamitra.com/city/rishikesh/2112-10-10"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T10:54:21.044Z","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":"2026-05-31T10:54:21.044Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T10:54:21.044Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}