{"id":"vidhyamitra:city-day:rishikesh:2164-04-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2164-04-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2164-04-15","date_display":"April 15, 2164 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":2164,"month":4,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511549.770833,"kali_year":5265,"ahargana":1923084.2708,"sun":{"sidereal_longitude":359.2781,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":276.4652,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":277.187,"elapsed_within_tithi_degrees":1.187},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3,"moon_longitude":276.4652,"elapsed_within_degrees":9.7985},"yoga":{"number":21,"name":"Siddha","sum_longitude":275.7433},"karana":{"half_tithi_index":46,"name":"Taitila"},"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":2164,"month":4,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2511549.770833,"ahargana":1923084.2708,"kali_year":5265,"ayanamsa_lahiri":26.148,"grahas":{"sun":{"sidereal_longitude":359.524587,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":277.11498700000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false,"latitude":4.2083},"mars":{"sidereal_longitude":65.05698699999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":330.94338700000003,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":318.5318870000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":11.041287000000011,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":true},"saturn":{"sidereal_longitude":239.023687,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":165.7408,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":345.7408,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","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":2164,"month":4,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511549.770833,"kali_year":5265,"ahargana":1923084.2708,"sun":{"sidereal_longitude":359.2781,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":276.4652,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":277.187,"elapsed_within_tithi_degrees":1.187},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3,"moon_longitude":276.4652,"elapsed_within_degrees":9.7985},"yoga":{"number":21,"name":"Siddha","sum_longitude":275.7433},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.208,"elongation":82.813},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.208,"opposition_distance":97.187}},"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":"05:50","sunsetLocal":"18:44","solarNoonLocal":"12:17","dayLengthHours":12.90666789186863,"dayLengthDisplay":"12 Hours 54 Mins 24 Secs","nightLengthDisplay":"11 Hours 05 Mins 36 Secs","moonriseLocal":"01:32","moonsetLocal":"12:03","rahuKala":{"name":"Rāhu Kāla","start":"17:08","end":"18:44","startHours":17.126162527080854,"endHours":18.739496013564434,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:17","end":"13:54","startHours":12.28616206763012,"endHours":13.899495554113699,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:31","end":"17:08","startHours":15.512829040597278,"endHours":17.126162527080854,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:51","end":"09:16","startHours":8.844383963131818,"endHours":9.274606226194107,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:22","end":"06:43","startHours":6.370605950523665,"endHours":6.7147837609734955,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:43","startHours":11.855939804567832,"endHours":12.716384330692406,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:07","end":"04:58","startHours":4.111939069446655,"endHours":4.97238359557123,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:45","end":"05:50","startHours":4.757272464040087,"endHours":5.832828121695806,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:26","end":"15:18","startHours":14.437273382941559,"endHours":15.297717909066135,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:32","end":"18:56","startHours":18.539496013564435,"endHours":18.939496013564433,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:44","end":"19:17","startHours":18.739496013564434,"endHours":19.277273842392294,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:29","end":"20:14","startHours":18.489496013564434,"endHours":20.239496013564434,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:43","startHours":23.855939804567832,"endHours":24.716384330692406,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:50","end":"07:27","startHours":5.832828121695806,"endHours":7.446161608179384,"quality":"inauspicious"},{"name":"Chala","start":"07:27","end":"09:04","startHours":7.446161608179384,"endHours":9.059495094662964,"quality":"neutral"},{"name":"Labha","start":"09:04","end":"10:40","startHours":9.059495094662964,"endHours":10.672828581146542,"quality":"auspicious"},{"name":"Amṛta","start":"10:40","end":"12:17","startHours":10.672828581146542,"endHours":12.28616206763012,"quality":"auspicious"},{"name":"Kāla","start":"12:17","end":"13:54","startHours":12.28616206763012,"endHours":13.899495554113699,"quality":"inauspicious"},{"name":"Śubha","start":"13:54","end":"15:31","startHours":13.899495554113699,"endHours":15.512829040597278,"quality":"auspicious"},{"name":"Roga","start":"15:31","end":"17:08","startHours":15.512829040597278,"endHours":17.126162527080854,"quality":"inauspicious"},{"name":"Udveg","start":"17:08","end":"18:44","startHours":17.126162527080854,"endHours":18.739496013564434,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:44","end":"20:08","startHours":18.739496013564434,"endHours":20.126162527080854,"quality":"auspicious"},{"name":"Roga","start":"20:08","end":"21:31","startHours":20.126162527080854,"endHours":21.512829040597275,"quality":"inauspicious"},{"name":"Udveg","start":"21:31","end":"22:54","startHours":21.512829040597275,"endHours":22.8994955541137,"quality":"inauspicious"},{"name":"Chala","start":"22:54","end":"00:17","startHours":22.8994955541137,"endHours":24.28616206763012,"quality":"neutral"},{"name":"Labha","start":"00:17","end":"01:40","startHours":24.28616206763012,"endHours":25.67282858114654,"quality":"auspicious"},{"name":"Amṛta","start":"01:40","end":"03:04","startHours":25.67282858114654,"endHours":27.059495094662964,"quality":"auspicious"},{"name":"Kāla","start":"03:04","end":"04:27","startHours":27.059495094662964,"endHours":28.446161608179384,"quality":"inauspicious"},{"name":"Śubha","start":"04:27","end":"05:50","startHours":28.446161608179384,"endHours":29.832828121695805,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:50","end":"06:50","startHours":5.832828121695806,"endHours":6.832828121695806,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:50","end":"07:50","startHours":6.832828121695806,"endHours":7.832828121695806,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:50","end":"08:50","startHours":7.832828121695806,"endHours":8.832828121695805,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:50","end":"09:50","startHours":8.832828121695805,"endHours":9.832828121695805,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:50","end":"10:50","startHours":9.832828121695805,"endHours":10.832828121695805,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:50","end":"11:50","startHours":10.832828121695805,"endHours":11.832828121695805,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:50","end":"12:50","startHours":11.832828121695805,"endHours":12.832828121695805,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:50","end":"13:50","startHours":12.832828121695805,"endHours":13.832828121695805,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:50","end":"14:50","startHours":13.832828121695805,"endHours":14.832828121695805,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:50","end":"15:50","startHours":14.832828121695805,"endHours":15.832828121695805,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:50","end":"16:50","startHours":15.832828121695805,"endHours":16.832828121695805,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:50","end":"17:50","startHours":16.832828121695805,"endHours":17.832828121695805,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:50","end":"18:50","startHours":17.832828121695805,"endHours":18.832828121695805,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:50","end":"19:50","startHours":18.832828121695805,"endHours":19.832828121695805,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:50","end":"20:50","startHours":19.832828121695805,"endHours":20.832828121695805,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:50","end":"21:50","startHours":20.832828121695805,"endHours":21.832828121695805,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:50","end":"22:50","startHours":21.832828121695805,"endHours":22.832828121695805,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:50","end":"23:50","startHours":22.832828121695805,"endHours":23.832828121695805,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:50","end":"00:50","startHours":23.832828121695805,"endHours":24.832828121695805,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:50","end":"01:50","startHours":24.832828121695805,"endHours":25.832828121695805,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:50","end":"02:50","startHours":25.832828121695805,"endHours":26.832828121695805,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:50","end":"03:50","startHours":26.832828121695805,"endHours":27.832828121695805,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:50","end":"04:50","startHours":27.832828121695805,"endHours":28.832828121695805,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:50","end":"05:50","startHours":28.832828121695805,"endHours":29.832828121695805,"planetary_lord":"Jupiter"}],"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":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Amṛta","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":9.922085117475545,"eotMinutes":-0.240124057807095,"ayanamsa":26.148}},"calendars":{"vikram_samvat":2221,"vikram_samvatsara":"Īśvara","saka_samvat":2086,"saka_samvatsara":"Raktākṣī","bengali_samvat":1571,"malayalam_era":1340,"nanakshahi_year":695,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","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":"Vaiśākha Kṛṣṇa Navamī · Vikram 2221 Īśvara · Śaka 2086 Raktākṣī"},"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 15, 2164 CE · Ṛṣikeśa · Vidhyamitra","description":"April 15, 2164 CE for Ṛṣikeśa: Kṛṣṇa Navamī, sūryodaya 05:50, sūryāsta 18:44.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2164-04-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2164-04-15","sa":"https://sa.vidhyamitra.com/city/rishikesh/2164-04-15","hi":"https://hi.vidhyamitra.com/city/rishikesh/2164-04-15","x-default":"https://vidhyamitra.com/city/rishikesh/2164-04-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T10:31:08.877Z","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":"2026-05-31T10:31:08.877Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T10:31:08.877Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}