{"id":"vidhyamitra:city-day:rishikesh:1865-09-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1865-09-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1865-09-13","date_display":"September 13, 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":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2402492.770833,"kali_year":4967,"ahargana":1814027.2708,"sun":{"sidereal_longitude":147.8547,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":65.6058,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":277.7511,"elapsed_within_tithi_degrees":1.7511},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4,"moon_longitude":65.6058,"elapsed_within_degrees":12.2725},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":213.4605},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":9,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2402492.770833,"ahargana":1814027.2708,"kali_year":4967,"ayanamsa_lahiri":21.9769,"grahas":{"sun":{"sidereal_longitude":148.256366,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":68.619666,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false,"latitude":-3.9538},"mars":{"sidereal_longitude":168.74726599999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":140.096566,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":240.75446599999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"venus":{"sidereal_longitude":111.50176599999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":187.10376599999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":184.1055,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":4.1055,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"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":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2402492.770833,"kali_year":4967,"ahargana":1814027.2708,"sun":{"sidereal_longitude":147.8547,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":65.6058,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":277.7511,"elapsed_within_tithi_degrees":1.7511},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4,"moon_longitude":65.6058,"elapsed_within_degrees":12.2725},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":213.4605},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.954,"elongation":82.249},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.954,"opposition_distance":97.751}},"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":"05:59","sunsetLocal":"18:25","solarNoonLocal":"12:12","dayLengthHours":12.428185890843586,"dayLengthDisplay":"12 Hours 25 Mins 41 Secs","nightLengthDisplay":"11 Hours 34 Mins 19 Secs","moonriseLocal":"23:52","moonsetLocal":"13:55","rahuKala":{"name":"Rāhu Kāla","start":"12:12","end":"13:45","startHours":12.202928817835566,"endHours":13.756452054191016,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:33","end":"09:06","startHours":7.542359108769221,"endHours":9.09588234512467,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:39","end":"12:12","startHours":10.649405581480117,"endHours":12.202928817835566,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:18","startHours":8.88874591361061,"endHours":9.30301877663873,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:30","end":"06:50","startHours":6.506676951198923,"endHours":6.838095241621419,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:47","end":"12:37","startHours":11.788655954807448,"endHours":12.617201680863685,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:20","end":"05:10","startHours":4.331744420301295,"endHours":5.160290146357534,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:57","end":"05:59","startHours":4.9531537148434746,"endHours":5.988835872413773,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:16","end":"15:06","startHours":14.274293132976164,"endHours":15.102838859032403,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:13","end":"18:37","startHours":18.21702176325736,"endHours":18.61702176325736,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:25","end":"18:56","startHours":18.41702176325736,"endHours":18.93486284204251,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:10","end":"19:55","startHours":18.16702176325736,"endHours":19.91702176325736,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:47","end":"00:37","startHours":23.788655954807446,"endHours":24.617201680863687,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:59","end":"07:33","startHours":5.988835872413773,"endHours":7.542359108769221,"quality":"auspicious"},{"name":"Amṛta","start":"07:33","end":"09:06","startHours":7.542359108769221,"endHours":9.09588234512467,"quality":"auspicious"},{"name":"Kāla","start":"09:06","end":"10:39","startHours":9.09588234512467,"endHours":10.649405581480117,"quality":"inauspicious"},{"name":"Śubha","start":"10:39","end":"12:12","startHours":10.649405581480117,"endHours":12.202928817835566,"quality":"auspicious"},{"name":"Roga","start":"12:12","end":"13:45","startHours":12.202928817835566,"endHours":13.756452054191016,"quality":"inauspicious"},{"name":"Udveg","start":"13:45","end":"15:19","startHours":13.756452054191016,"endHours":15.309975290546463,"quality":"inauspicious"},{"name":"Chala","start":"15:19","end":"16:52","startHours":15.309975290546463,"endHours":16.86349852690191,"quality":"neutral"},{"name":"Labha","start":"16:52","end":"18:25","startHours":16.86349852690191,"endHours":18.41702176325736,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:25","end":"19:52","startHours":18.41702176325736,"endHours":19.86349852690191,"quality":"inauspicious"},{"name":"Chala","start":"19:52","end":"21:19","startHours":19.86349852690191,"endHours":21.30997529054646,"quality":"neutral"},{"name":"Labha","start":"21:19","end":"22:45","startHours":21.30997529054646,"endHours":22.756452054191016,"quality":"auspicious"},{"name":"Amṛta","start":"22:45","end":"00:12","startHours":22.756452054191016,"endHours":24.202928817835566,"quality":"auspicious"},{"name":"Kāla","start":"00:12","end":"01:39","startHours":24.202928817835566,"endHours":25.649405581480117,"quality":"inauspicious"},{"name":"Śubha","start":"01:39","end":"03:06","startHours":25.649405581480117,"endHours":27.09588234512467,"quality":"auspicious"},{"name":"Roga","start":"03:06","end":"04:33","startHours":27.09588234512467,"endHours":28.542359108769222,"quality":"inauspicious"},{"name":"Udveg","start":"04:33","end":"05:59","startHours":28.542359108769222,"endHours":29.988835872413773,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:59","end":"06:59","startHours":5.988835872413773,"endHours":6.988835872413773,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:59","end":"07:59","startHours":6.988835872413773,"endHours":7.988835872413773,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:59","end":"08:59","startHours":7.988835872413773,"endHours":8.988835872413773,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:59","end":"09:59","startHours":8.988835872413773,"endHours":9.988835872413773,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:59","end":"10:59","startHours":9.988835872413773,"endHours":10.988835872413773,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:59","end":"11:59","startHours":10.988835872413773,"endHours":11.988835872413773,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:59","end":"12:59","startHours":11.988835872413773,"endHours":12.988835872413773,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:59","end":"13:59","startHours":12.988835872413773,"endHours":13.988835872413773,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:59","end":"14:59","startHours":13.988835872413773,"endHours":14.988835872413773,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:59","end":"15:59","startHours":14.988835872413773,"endHours":15.988835872413773,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:59","end":"16:59","startHours":15.988835872413773,"endHours":16.988835872413773,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:59","end":"17:59","startHours":16.988835872413773,"endHours":17.988835872413773,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:59","end":"18:59","startHours":17.988835872413773,"endHours":18.988835872413773,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:59","end":"19:59","startHours":18.988835872413773,"endHours":19.988835872413773,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:59","end":"20:59","startHours":19.988835872413773,"endHours":20.988835872413773,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:59","end":"21:59","startHours":20.988835872413773,"endHours":21.988835872413773,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:59","end":"22:59","startHours":21.988835872413773,"endHours":22.988835872413773,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:59","end":"23:59","startHours":22.988835872413773,"endHours":23.988835872413773,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:59","end":"00:59","startHours":23.988835872413773,"endHours":24.988835872413773,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:59","end":"01:59","startHours":24.988835872413773,"endHours":25.988835872413773,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:59","end":"02:59","startHours":25.988835872413773,"endHours":26.988835872413773,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:59","end":"03:59","startHours":26.988835872413773,"endHours":27.988835872413773,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:59","end":"04:59","startHours":27.988835872413773,"endHours":28.988835872413773,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:59","end":"05:59","startHours":28.988835872413773,"endHours":29.988835872413773,"planetary_lord":"Sun"}],"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":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":3.8687011365482613,"eotMinutes":4.753870929866006,"ayanamsa":21.9769}},"calendars":{"vikram_samvat":1922,"vikram_samvatsara":"Bahudhānya","saka_samvat":1787,"saka_samvatsara":"Krodhana","bengali_samvat":1272,"malayalam_era":1041,"nanakshahi_year":396,"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":"Siṃha (Āvaṇi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Navamī · Vikram 1922 Bahudhānya · Śaka 1787 Krodhana"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 September 13, 1865 CE · Ṛṣikeśa · Vidhyamitra","description":"September 13, 1865 CE for Ṛṣikeśa: Kṛṣṇa Navamī, sūryodaya 05:59, sūryāsta 18:25.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1865-09-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1865-09-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/1865-09-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/1865-09-13","x-default":"https://vidhyamitra.com/city/rishikesh/1865-09-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T12:55:00.468Z","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":"2026-05-31T12:55:00.468Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T12:55:00.468Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}