{"id":"vidhyamitra:city-day:rishikesh:1865-02-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1865-02-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1865-02-21","date_display":"February 21, 1865 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":1865,"month":2,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2402288.770833,"kali_year":4966,"ahargana":1813823.2708,"sun":{"sidereal_longitude":310.9468,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":248.9638,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":298.0171,"elapsed_within_tithi_degrees":10.0171},"nakshatra":{"number":19,"name":"Mūla","pada":3,"moon_longitude":248.9638,"elapsed_within_degrees":8.9638},"yoga":{"number":15,"name":"Vajra","sum_longitude":199.9106},"karana":{"half_tithi_index":49,"name":"Viṣṭi"},"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":1865,"month":2,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2402288.770833,"ahargana":1813823.2708,"kali_year":4966,"ayanamsa_lahiri":21.9691,"grahas":{"sun":{"sidereal_longitude":310.49976000000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":245.94276000000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false,"latitude":3.6416},"mars":{"sidereal_longitude":52.29856000000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":293.45156,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":245.28535999999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"venus":{"sidereal_longitude":358.79226,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":189.22456,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":194.9144,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":14.9144,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":1865,"month":2,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2402288.770833,"kali_year":4966,"ahargana":1813823.2708,"sun":{"sidereal_longitude":310.9468,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":248.9638,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":298.0171,"elapsed_within_tithi_degrees":10.0171},"nakshatra":{"number":19,"name":"Mūla","pada":3,"moon_longitude":248.9638,"elapsed_within_degrees":8.9638},"yoga":{"number":15,"name":"Vajra","sum_longitude":199.9106},"karana":{"half_tithi_index":49,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.642,"elongation":61.983},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.642,"opposition_distance":118.017}},"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":"06:52","sunsetLocal":"18:10","solarNoonLocal":"12:31","dayLengthHours":11.301789669745148,"dayLengthDisplay":"11 Hours 18 Mins 06 Secs","nightLengthDisplay":"12 Hours 41 Mins 54 Secs","moonriseLocal":"03:08","moonsetLocal":"13:18","rahuKala":{"name":"Rāhu Kāla","start":"15:21","end":"16:45","startHours":15.344104789790226,"endHours":16.75682849850837,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:42","end":"11:06","startHours":9.693209954917652,"endHours":11.105933663635795,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:31","end":"13:56","startHours":12.518657372353939,"endHours":13.931381081072082,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:30","end":"09:53","startHours":9.504846793755233,"endHours":9.881573116080071,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:20","end":"07:38","startHours":7.338670440387413,"endHours":7.640051498247284,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:54","startHours":12.1419310500291,"endHours":12.895383694678777,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:22","end":"06:07","startHours":5.360857248182012,"endHours":6.114309892831688,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:56","end":"06:52","startHours":5.92594673166927,"endHours":6.867762537481365,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:24","end":"15:09","startHours":14.402288983978131,"endHours":15.155741628627808,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:58","end":"18:22","startHours":17.969552207226513,"endHours":18.369552207226512,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:10","end":"18:38","startHours":18.169552207226513,"endHours":18.64046011013256,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:55","end":"19:40","startHours":17.919552207226513,"endHours":19.669552207226513,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:54","startHours":24.1419310500291,"endHours":24.895383694678777,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:52","end":"08:17","startHours":6.867762537481365,"endHours":8.280486246199509,"quality":"inauspicious"},{"name":"Udveg","start":"08:17","end":"09:42","startHours":8.280486246199509,"endHours":9.693209954917652,"quality":"inauspicious"},{"name":"Chala","start":"09:42","end":"11:06","startHours":9.693209954917652,"endHours":11.105933663635795,"quality":"neutral"},{"name":"Labha","start":"11:06","end":"12:31","startHours":11.105933663635795,"endHours":12.518657372353939,"quality":"auspicious"},{"name":"Amṛta","start":"12:31","end":"13:56","startHours":12.518657372353939,"endHours":13.931381081072082,"quality":"auspicious"},{"name":"Kāla","start":"13:56","end":"15:21","startHours":13.931381081072082,"endHours":15.344104789790226,"quality":"inauspicious"},{"name":"Śubha","start":"15:21","end":"16:45","startHours":15.344104789790226,"endHours":16.75682849850837,"quality":"auspicious"},{"name":"Roga","start":"16:45","end":"18:10","startHours":16.75682849850837,"endHours":18.169552207226513,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:10","end":"19:45","startHours":18.169552207226513,"endHours":19.75682849850837,"quality":"inauspicious"},{"name":"Śubha","start":"19:45","end":"21:21","startHours":19.75682849850837,"endHours":21.344104789790226,"quality":"auspicious"},{"name":"Roga","start":"21:21","end":"22:56","startHours":21.344104789790226,"endHours":22.931381081072082,"quality":"inauspicious"},{"name":"Udveg","start":"22:56","end":"00:31","startHours":22.931381081072082,"endHours":24.51865737235394,"quality":"inauspicious"},{"name":"Chala","start":"00:31","end":"02:06","startHours":24.51865737235394,"endHours":26.105933663635795,"quality":"neutral"},{"name":"Labha","start":"02:06","end":"03:42","startHours":26.105933663635795,"endHours":27.693209954917652,"quality":"auspicious"},{"name":"Amṛta","start":"03:42","end":"05:17","startHours":27.693209954917652,"endHours":29.28048624619951,"quality":"auspicious"},{"name":"Kāla","start":"05:17","end":"06:52","startHours":29.28048624619951,"endHours":30.867762537481365,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:52","end":"07:52","startHours":6.867762537481365,"endHours":7.867762537481365,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:52","end":"08:52","startHours":7.867762537481365,"endHours":8.867762537481365,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:52","end":"09:52","startHours":8.867762537481365,"endHours":9.867762537481365,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:52","end":"10:52","startHours":9.867762537481365,"endHours":10.867762537481365,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:52","end":"11:52","startHours":10.867762537481365,"endHours":11.867762537481365,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:52","end":"12:52","startHours":11.867762537481365,"endHours":12.867762537481365,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:52","end":"13:52","startHours":12.867762537481365,"endHours":13.867762537481365,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:52","end":"14:52","startHours":13.867762537481365,"endHours":14.867762537481365,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:52","end":"15:52","startHours":14.867762537481365,"endHours":15.867762537481365,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:52","end":"16:52","startHours":15.867762537481365,"endHours":16.867762537481365,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:52","end":"17:52","startHours":16.867762537481365,"endHours":17.867762537481365,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:52","end":"18:52","startHours":17.867762537481365,"endHours":18.867762537481365,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:52","end":"19:52","startHours":18.867762537481365,"endHours":19.867762537481365,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:52","end":"20:52","startHours":19.867762537481365,"endHours":20.867762537481365,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:52","end":"21:52","startHours":20.867762537481365,"endHours":21.867762537481365,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:52","end":"22:52","startHours":21.867762537481365,"endHours":22.867762537481365,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:52","end":"23:52","startHours":22.867762537481365,"endHours":23.867762537481365,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:52","end":"00:52","startHours":23.867762537481365,"endHours":24.867762537481365,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:52","end":"01:52","startHours":24.867762537481365,"endHours":25.867762537481365,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:52","end":"02:52","startHours":25.867762537481365,"endHours":26.867762537481365,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:52","end":"03:52","startHours":26.867762537481365,"endHours":27.867762537481365,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:52","end":"04:52","startHours":27.867762537481365,"endHours":28.867762537481365,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:52","end":"05:52","startHours":28.867762537481365,"endHours":29.867762537481365,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:52","end":"06:52","startHours":29.867762537481365,"endHours":30.867762537481365,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-10.593749927880909,"eotMinutes":-14.189842341236304,"ayanamsa":21.9691}},"calendars":{"vikram_samvat":1922,"vikram_samvatsara":"Bahudhānya","saka_samvat":1787,"saka_samvatsara":"Krodhana","bengali_samvat":1272,"malayalam_era":1041,"nanakshahi_year":396,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Phālguna","lunar_month_amanta":"Māgha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kumbha (Māsi)","ritu":"Śiśira (Winter)","display_summary":"Phālguna Kṛṣṇa Daśamī · Vikram 1922 Bahudhānya · Śaka 1787 Krodhana"},"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 February 21, 1865 CE · Ṛṣikeśa · Vidhyamitra","description":"February 21, 1865 CE for Ṛṣikeśa: Kṛṣṇa Daśamī, sūryodaya 06:52, sūryāsta 18:10.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1865-02-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1865-02-21","sa":"https://sa.vidhyamitra.com/city/rishikesh/1865-02-21","hi":"https://hi.vidhyamitra.com/city/rishikesh/1865-02-21","x-default":"https://vidhyamitra.com/city/rishikesh/1865-02-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T15:47:42.969Z","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":"2026-06-01T15:47:42.969Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T15:47:42.969Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}