{"id":"vidhyamitra:city-day:rishikesh:1904-09-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1904-09-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1904-09-13","date_display":"September 13, 1904 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":1904,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2416736.770833,"kali_year":5006,"ahargana":1828271.2708,"sun":{"sidereal_longitude":146.7937,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":189.2575,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":42.4638,"elapsed_within_tithi_degrees":6.4638},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":189.2575,"elapsed_within_degrees":2.5908},"yoga":{"number":26,"name":"Indra","sum_longitude":336.0512},"karana":{"half_tithi_index":7,"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":1904,"month":9,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2416736.770833,"ahargana":1828271.2708,"kali_year":5006,"ayanamsa_lahiri":22.5217,"grahas":{"sun":{"sidereal_longitude":147.28774099999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":191.69454099999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false,"latitude":2.8828},"mars":{"sidereal_longitude":117.22194100000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":154.94874099999993,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":8.103640999999982,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":true},"venus":{"sidereal_longitude":166.82084099999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":294.23754099999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":149.3898,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":329.3898,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":1904,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2416736.770833,"kali_year":5006,"ahargana":1828271.2708,"sun":{"sidereal_longitude":146.7937,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":189.2575,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":42.4638,"elapsed_within_tithi_degrees":6.4638},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":189.2575,"elapsed_within_degrees":2.5908},"yoga":{"number":26,"name":"Indra","sum_longitude":336.0512},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.883,"elongation":42.464},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.883,"opposition_distance":137.536}},"eclipse_window_40days":[{"offset_days":-3,"type":"solar","occurs":true,"moon_latitude":-0.262,"elongation":2.331}]},"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":12.441149537569515,"dayLengthDisplay":"12 Hours 26 Mins 28 Secs","nightLengthDisplay":"11 Hours 33 Mins 32 Secs","moonriseLocal":"09:38","moonsetLocal":"20:42","rahuKala":{"name":"Rāhu Kāla","start":"15:19","end":"16:52","startHours":15.313216202227945,"endHours":16.868359894424135,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:06","end":"10:39","startHours":9.092641433443188,"endHours":10.647785125639377,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:12","end":"13:45","startHours":12.202928817835566,"endHours":13.758072510031756,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:18","startHours":8.885288941150364,"endHours":9.299993925736015,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:30","end":"06:50","startHours":6.500735279782873,"endHours":6.832499267451394,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:47","end":"12:37","startHours":11.788223833249916,"endHours":12.617633802421217,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:19","end":"05:09","startHours":4.3235341107082075,"endHours":5.152944079879509,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:57","end":"05:59","startHours":4.945591587586684,"endHours":5.98235404905081,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:17","end":"15:06","startHours":14.27645374076382,"endHours":15.105863709935122,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:13","end":"18:37","startHours":18.223503586620325,"endHours":18.623503586620323,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:25","end":"18:57","startHours":18.423503586620324,"endHours":18.94188481735239,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:10","end":"19:55","startHours":18.173503586620324,"endHours":19.923503586620324,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:47","end":"00:37","startHours":23.788223833249916,"endHours":24.617633802421217,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:59","end":"07:32","startHours":5.98235404905081,"endHours":7.537497741246999,"quality":"inauspicious"},{"name":"Udveg","start":"07:32","end":"09:06","startHours":7.537497741246999,"endHours":9.092641433443188,"quality":"inauspicious"},{"name":"Chala","start":"09:06","end":"10:39","startHours":9.092641433443188,"endHours":10.647785125639377,"quality":"neutral"},{"name":"Labha","start":"10:39","end":"12:12","startHours":10.647785125639377,"endHours":12.202928817835566,"quality":"auspicious"},{"name":"Amṛta","start":"12:12","end":"13:45","startHours":12.202928817835566,"endHours":13.758072510031756,"quality":"auspicious"},{"name":"Kāla","start":"13:45","end":"15:19","startHours":13.758072510031756,"endHours":15.313216202227945,"quality":"inauspicious"},{"name":"Śubha","start":"15:19","end":"16:52","startHours":15.313216202227945,"endHours":16.868359894424135,"quality":"auspicious"},{"name":"Roga","start":"16:52","end":"18:25","startHours":16.868359894424135,"endHours":18.423503586620324,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:25","end":"19:52","startHours":18.423503586620324,"endHours":19.868359894424135,"quality":"inauspicious"},{"name":"Śubha","start":"19:52","end":"21:19","startHours":19.868359894424135,"endHours":21.313216202227945,"quality":"auspicious"},{"name":"Roga","start":"21:19","end":"22:45","startHours":21.313216202227945,"endHours":22.758072510031756,"quality":"inauspicious"},{"name":"Udveg","start":"22:45","end":"00:12","startHours":22.758072510031756,"endHours":24.202928817835566,"quality":"inauspicious"},{"name":"Chala","start":"00:12","end":"01:39","startHours":24.202928817835566,"endHours":25.647785125639377,"quality":"neutral"},{"name":"Labha","start":"01:39","end":"03:06","startHours":25.647785125639377,"endHours":27.092641433443188,"quality":"auspicious"},{"name":"Amṛta","start":"03:06","end":"04:32","startHours":27.092641433443188,"endHours":28.537497741246998,"quality":"auspicious"},{"name":"Kāla","start":"04:32","end":"05:59","startHours":28.537497741246998,"endHours":29.98235404905081,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:59","end":"06:59","startHours":5.98235404905081,"endHours":6.98235404905081,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:59","end":"07:59","startHours":6.98235404905081,"endHours":7.98235404905081,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:59","end":"08:59","startHours":7.98235404905081,"endHours":8.982354049050809,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:59","end":"09:59","startHours":8.982354049050809,"endHours":9.982354049050809,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:59","end":"10:59","startHours":9.982354049050809,"endHours":10.982354049050809,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:59","end":"11:59","startHours":10.982354049050809,"endHours":11.982354049050809,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:59","end":"12:59","startHours":11.982354049050809,"endHours":12.982354049050809,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:59","end":"13:59","startHours":12.982354049050809,"endHours":13.982354049050809,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:59","end":"14:59","startHours":13.982354049050809,"endHours":14.982354049050809,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:59","end":"15:59","startHours":14.982354049050809,"endHours":15.982354049050809,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:59","end":"16:59","startHours":15.982354049050809,"endHours":16.98235404905081,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:59","end":"17:59","startHours":16.98235404905081,"endHours":17.98235404905081,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:59","end":"18:59","startHours":17.98235404905081,"endHours":18.98235404905081,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:59","end":"19:59","startHours":18.98235404905081,"endHours":19.98235404905081,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:59","end":"20:59","startHours":19.98235404905081,"endHours":20.98235404905081,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:59","end":"21:59","startHours":20.98235404905081,"endHours":21.98235404905081,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:59","end":"22:59","startHours":21.98235404905081,"endHours":22.98235404905081,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:59","end":"23:59","startHours":22.98235404905081,"endHours":23.98235404905081,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:59","end":"00:59","startHours":23.98235404905081,"endHours":24.98235404905081,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:59","end":"01:59","startHours":24.98235404905081,"endHours":25.98235404905081,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:59","end":"02:59","startHours":25.98235404905081,"endHours":26.98235404905081,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:59","end":"03:59","startHours":26.98235404905081,"endHours":27.98235404905081,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:59","end":"04:59","startHours":27.98235404905081,"endHours":28.98235404905081,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:59","end":"05:59","startHours":28.98235404905081,"endHours":29.98235404905081,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"North","rahuVasa":"North","anandadiYoga":{"name":"Gada","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":4.03511542482239,"eotMinutes":4.753870929866006,"ayanamsa":22.5217}},"calendars":{"vikram_samvat":1961,"vikram_samvatsara":"Piṅgala","saka_samvat":1826,"saka_samvatsara":"Krodhi","bengali_samvat":1311,"malayalam_era":1080,"nanakshahi_year":435,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","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":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Caturthī · Vikram 1961 Piṅgala · Śaka 1826 Krodhi"},"festivals":[{"id":"ganesha-chaturthi","name":"Gaṇeśa Caturthī","name_sanskrit":"गणेश चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Gaṇeśa's birth day; 11-day festival in Maharashtra.","vrata":false,"detection":{"tithi_number":4,"tithi_paksha":"Śukla","lunar_month":"Bhādrapada"},"precedence":1},{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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 September 13, 1904 CE · Ṛṣikeśa · Vidhyamitra","description":"September 13, 1904 CE for Ṛṣikeśa: Śukla Caturthī, sūryodaya 05:59, sūryāsta 18:25.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1904-09-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1904-09-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/1904-09-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/1904-09-13","x-default":"https://vidhyamitra.com/city/rishikesh/1904-09-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T18:16:21.062Z","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":"2026-06-02T18:16:21.062Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T18:16:21.062Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}