{"id":"vidhyamitra:city-day:rishikesh:1865-04-02:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1865-04-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1865-04-02","date_display":"April 2, 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":4,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2402328.770833,"kali_year":4966,"ahargana":1813863.2708,"sun":{"sidereal_longitude":350.8195,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":65.7938,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":74.9742,"elapsed_within_tithi_degrees":2.9742},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4,"moon_longitude":65.7938,"elapsed_within_degrees":12.4604},"yoga":{"number":5,"name":"Śobhana","sum_longitude":56.6133},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":4,"day":2,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2402328.770833,"ahargana":1813863.2708,"kali_year":4966,"ayanamsa_lahiri":21.9707,"grahas":{"sun":{"sidereal_longitude":350.346532,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":68.20723199999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false,"latitude":-3.5925},"mars":{"sidereal_longitude":70.92493200000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":6.805731999999978,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":249.113432,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"venus":{"sidereal_longitude":31.870431999999994,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":true},"saturn":{"sidereal_longitude":187.22463199999993,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":192.795,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":12.795,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","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":1865,"month":4,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2402328.770833,"kali_year":4966,"ahargana":1813863.2708,"sun":{"sidereal_longitude":350.8195,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":65.7938,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":74.9742,"elapsed_within_tithi_degrees":2.9742},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4,"moon_longitude":65.7938,"elapsed_within_degrees":12.4604},"yoga":{"number":5,"name":"Śobhana","sum_longitude":56.6133},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.592,"elongation":74.974},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.592,"opposition_distance":105.026}},"eclipse_window_40days":[{"offset_days":9,"type":"lunar","occurs":true,"moon_latitude":-1.073,"opposition_distance":1.123}]},"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":"06:06","sunsetLocal":"18:36","solarNoonLocal":"12:21","dayLengthHours":12.506086634942555,"dayLengthDisplay":"12 Hours 30 Mins 22 Secs","nightLengthDisplay":"11 Hours 29 Mins 38 Secs","moonriseLocal":"10:31","moonsetLocal":"00:34","rahuKala":{"name":"Rāhu Kāla","start":"17:02","end":"18:36","startHours":17.039085232080456,"endHours":18.602346061448277,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:21","end":"13:55","startHours":12.349302743976999,"endHours":13.91256357334482,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:29","end":"17:02","startHours":15.475824402712638,"endHours":17.039085232080456,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:01","end":"09:26","startHours":9.014346307992318,"endHours":9.431215862490403,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:37","end":"06:57","startHours":6.6173463696283275,"endHours":6.950842013226795,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:46","startHours":11.932433189478914,"endHours":12.766172298475084,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:26","end":"05:16","startHours":4.428781208513381,"endHours":5.262520317509551,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:03","end":"06:06","startHours":5.054085540260509,"endHours":6.096259426505721,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:26","end":"15:16","startHours":14.433650516467424,"endHours":15.267389625463593,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:24","end":"18:48","startHours":18.402346061448277,"endHours":18.802346061448276,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:36","end":"19:07","startHours":18.602346061448277,"endHours":19.123433004570884,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:21","end":"20:06","startHours":18.352346061448277,"endHours":20.102346061448277,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:46","startHours":23.932433189478914,"endHours":24.766172298475084,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:06","end":"07:40","startHours":6.096259426505721,"endHours":7.659520255873541,"quality":"inauspicious"},{"name":"Chala","start":"07:40","end":"09:13","startHours":7.659520255873541,"endHours":9.22278108524136,"quality":"neutral"},{"name":"Labha","start":"09:13","end":"10:47","startHours":9.22278108524136,"endHours":10.786041914609179,"quality":"auspicious"},{"name":"Amṛta","start":"10:47","end":"12:21","startHours":10.786041914609179,"endHours":12.349302743976999,"quality":"auspicious"},{"name":"Kāla","start":"12:21","end":"13:55","startHours":12.349302743976999,"endHours":13.91256357334482,"quality":"inauspicious"},{"name":"Śubha","start":"13:55","end":"15:29","startHours":13.91256357334482,"endHours":15.475824402712638,"quality":"auspicious"},{"name":"Roga","start":"15:29","end":"17:02","startHours":15.475824402712638,"endHours":17.039085232080456,"quality":"inauspicious"},{"name":"Udveg","start":"17:02","end":"18:36","startHours":17.039085232080456,"endHours":18.602346061448277,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:36","end":"20:02","startHours":18.602346061448277,"endHours":20.039085232080456,"quality":"auspicious"},{"name":"Roga","start":"20:02","end":"21:29","startHours":20.039085232080456,"endHours":21.47582440271264,"quality":"inauspicious"},{"name":"Udveg","start":"21:29","end":"22:55","startHours":21.47582440271264,"endHours":22.91256357334482,"quality":"inauspicious"},{"name":"Chala","start":"22:55","end":"00:21","startHours":22.91256357334482,"endHours":24.349302743977,"quality":"neutral"},{"name":"Labha","start":"00:21","end":"01:47","startHours":24.349302743977,"endHours":25.78604191460918,"quality":"auspicious"},{"name":"Amṛta","start":"01:47","end":"03:13","startHours":25.78604191460918,"endHours":27.22278108524136,"quality":"auspicious"},{"name":"Kāla","start":"03:13","end":"04:40","startHours":27.22278108524136,"endHours":28.65952025587354,"quality":"inauspicious"},{"name":"Śubha","start":"04:40","end":"06:06","startHours":28.65952025587354,"endHours":30.09625942650572,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:06","end":"07:06","startHours":6.096259426505721,"endHours":7.096259426505721,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:06","end":"08:06","startHours":7.096259426505721,"endHours":8.096259426505721,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:06","end":"09:06","startHours":8.096259426505721,"endHours":9.096259426505721,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:06","end":"10:06","startHours":9.096259426505721,"endHours":10.096259426505721,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:06","end":"11:06","startHours":10.096259426505721,"endHours":11.096259426505721,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:06","end":"12:06","startHours":11.096259426505721,"endHours":12.096259426505721,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:06","end":"13:06","startHours":12.096259426505721,"endHours":13.096259426505721,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:06","end":"14:06","startHours":13.096259426505721,"endHours":14.096259426505721,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:06","end":"15:06","startHours":14.096259426505721,"endHours":15.096259426505721,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:06","end":"16:06","startHours":15.096259426505721,"endHours":16.09625942650572,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:06","end":"17:06","startHours":16.09625942650572,"endHours":17.09625942650572,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:06","end":"18:06","startHours":17.09625942650572,"endHours":18.09625942650572,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:06","end":"19:06","startHours":18.09625942650572,"endHours":19.09625942650572,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:06","end":"20:06","startHours":19.09625942650572,"endHours":20.09625942650572,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:06","end":"21:06","startHours":20.09625942650572,"endHours":21.09625942650572,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:06","end":"22:06","startHours":21.09625942650572,"endHours":22.09625942650572,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:06","end":"23:06","startHours":22.09625942650572,"endHours":23.09625942650572,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:06","end":"00:06","startHours":23.09625942650572,"endHours":24.09625942650572,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:06","end":"01:06","startHours":24.09625942650572,"endHours":25.09625942650572,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:06","end":"02:06","startHours":25.09625942650572,"endHours":26.09625942650572,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:06","end":"03:06","startHours":26.09625942650572,"endHours":27.09625942650572,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:06","end":"04:06","startHours":27.09625942650572,"endHours":28.09625942650572,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:06","end":"05:06","startHours":28.09625942650572,"endHours":29.09625942650572,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:06","end":"06:06","startHours":29.09625942650572,"endHours":30.09625942650572,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":4.867167619680695,"eotMinutes":-4.028564638619968,"ayanamsa":21.9707}},"calendars":{"vikram_samvat":1922,"vikram_samvatsara":"Bahudhānya","saka_samvat":1787,"saka_samvatsara":"Krodhana","bengali_samvat":1272,"malayalam_era":1041,"nanakshahi_year":396,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Caitra","lunar_month_amanta":"Caitra","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Śukla Saptamī · Vikram 1922 Bahudhānya · Śaka 1787 Krodhana"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 April 2, 1865 CE · Ṛṣikeśa · Vidhyamitra","description":"April 2, 1865 CE for Ṛṣikeśa: Śukla Saptamī, sūryodaya 06:06, sūryāsta 18:36.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1865-04-02","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1865-04-02","sa":"https://sa.vidhyamitra.com/city/rishikesh/1865-04-02","hi":"https://hi.vidhyamitra.com/city/rishikesh/1865-04-02","x-default":"https://vidhyamitra.com/city/rishikesh/1865-04-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T04:25:59.100Z","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":"2026-06-02T04:25:59.100Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T04:25:59.100Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}