{"id":"vidhyamitra:city-day:rishikesh:1904-10-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1904-10-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1904-10-13","date_display":"October 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":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2416766.770833,"kali_year":5006,"ahargana":1828301.2708,"sun":{"sidereal_longitude":176.2467,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":226.5725,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":50.3258,"elapsed_within_tithi_degrees":2.3258},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":226.5725,"elapsed_within_degrees":13.2392},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":42.8192},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":10,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2416766.770833,"ahargana":1828301.2708,"kali_year":5006,"ayanamsa_lahiri":22.5229,"grahas":{"sun":{"sidereal_longitude":176.75289399999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":228.24529400000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false,"latitude":4.4137},"mars":{"sidereal_longitude":135.86729400000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":165.293994,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":4.755493999999999,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":203.812094,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":293.19829400000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":147.8003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":327.8003,"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":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2416766.770833,"kali_year":5006,"ahargana":1828301.2708,"sun":{"sidereal_longitude":176.2467,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":226.5725,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":50.3258,"elapsed_within_tithi_degrees":2.3258},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":226.5725,"elapsed_within_degrees":13.2392},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":42.8192},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.414,"elongation":50.326},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.414,"opposition_distance":129.674}},"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":"06:16","sunsetLocal":"17:49","solarNoonLocal":"12:02","dayLengthHours":11.54299437037271,"dayLengthDisplay":"11 Hours 32 Mins 35 Secs","nightLengthDisplay":"12 Hours 27 Mins 25 Secs","moonriseLocal":"10:20","moonsetLocal":"20:37","rahuKala":{"name":"Rāhu Kāla","start":"13:29","end":"14:56","startHours":13.484327142828665,"endHours":14.927201439125255,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:16","end":"07:43","startHours":6.269955661345722,"endHours":7.7128299576423105,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:09","end":"10:36","startHours":9.1557042539389,"endHours":10.598578550235487,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:58","end":"09:21","startHours":8.963321014432687,"endHours":9.34808749344511,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:45","end":"07:04","startHours":6.750913760111251,"endHours":7.05872694332119,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:39","end":"12:26","startHours":11.656686367519654,"endHours":12.426219325544501,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:44","end":"05:30","startHours":4.730889745296027,"endHours":5.500422703320874,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:18","end":"06:16","startHours":5.308039463814662,"endHours":6.269955661345722,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:44","startHours":13.965285241594195,"endHours":14.734818199619042,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:37","end":"18:01","startHours":17.612950031718434,"endHours":18.012950031718432,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:49","end":"18:18","startHours":17.812950031718433,"endHours":18.293908130483963,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:34","end":"19:19","startHours":17.562950031718433,"endHours":19.312950031718433,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:39","end":"00:26","startHours":23.656686367519654,"endHours":24.4262193255445,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:16","end":"07:43","startHours":6.269955661345722,"endHours":7.7128299576423105,"quality":"auspicious"},{"name":"Roga","start":"07:43","end":"09:09","startHours":7.7128299576423105,"endHours":9.1557042539389,"quality":"inauspicious"},{"name":"Udveg","start":"09:09","end":"10:36","startHours":9.1557042539389,"endHours":10.598578550235487,"quality":"inauspicious"},{"name":"Chala","start":"10:36","end":"12:02","startHours":10.598578550235487,"endHours":12.041452846532078,"quality":"neutral"},{"name":"Labha","start":"12:02","end":"13:29","startHours":12.041452846532078,"endHours":13.484327142828665,"quality":"auspicious"},{"name":"Amṛta","start":"13:29","end":"14:56","startHours":13.484327142828665,"endHours":14.927201439125255,"quality":"auspicious"},{"name":"Kāla","start":"14:56","end":"16:22","startHours":14.927201439125255,"endHours":16.370075735421842,"quality":"inauspicious"},{"name":"Śubha","start":"16:22","end":"17:49","startHours":16.370075735421842,"endHours":17.812950031718433,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:49","end":"19:22","startHours":17.812950031718433,"endHours":19.370075735421842,"quality":"auspicious"},{"name":"Kāla","start":"19:22","end":"20:56","startHours":19.370075735421842,"endHours":20.927201439125255,"quality":"inauspicious"},{"name":"Śubha","start":"20:56","end":"22:29","startHours":20.927201439125255,"endHours":22.48432714282867,"quality":"auspicious"},{"name":"Roga","start":"22:29","end":"00:02","startHours":22.48432714282867,"endHours":24.041452846532078,"quality":"inauspicious"},{"name":"Udveg","start":"00:02","end":"01:36","startHours":24.041452846532078,"endHours":25.598578550235487,"quality":"inauspicious"},{"name":"Chala","start":"01:36","end":"03:09","startHours":25.598578550235487,"endHours":27.1557042539389,"quality":"neutral"},{"name":"Labha","start":"03:09","end":"04:43","startHours":27.1557042539389,"endHours":28.712829957642313,"quality":"auspicious"},{"name":"Amṛta","start":"04:43","end":"06:16","startHours":28.712829957642313,"endHours":30.269955661345723,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:16","end":"07:16","startHours":6.269955661345722,"endHours":7.269955661345722,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:16","end":"08:16","startHours":7.269955661345722,"endHours":8.269955661345723,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:16","end":"09:16","startHours":8.269955661345723,"endHours":9.269955661345723,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:16","end":"10:16","startHours":9.269955661345723,"endHours":10.269955661345723,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:16","end":"11:16","startHours":10.269955661345723,"endHours":11.269955661345723,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:16","end":"12:16","startHours":11.269955661345723,"endHours":12.269955661345723,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:16","end":"13:16","startHours":12.269955661345723,"endHours":13.269955661345723,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:16","end":"14:16","startHours":13.269955661345723,"endHours":14.269955661345723,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:16","end":"15:16","startHours":14.269955661345723,"endHours":15.269955661345723,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:16","end":"16:16","startHours":15.269955661345723,"endHours":16.269955661345723,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:16","end":"17:16","startHours":16.269955661345723,"endHours":17.269955661345723,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:16","end":"18:16","startHours":17.269955661345723,"endHours":18.269955661345723,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:16","end":"19:16","startHours":18.269955661345723,"endHours":19.269955661345723,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:16","end":"20:16","startHours":19.269955661345723,"endHours":20.269955661345723,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:16","end":"21:16","startHours":20.269955661345723,"endHours":21.269955661345723,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:16","end":"22:16","startHours":21.269955661345723,"endHours":22.269955661345723,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:16","end":"23:16","startHours":22.269955661345723,"endHours":23.269955661345723,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:16","end":"00:16","startHours":23.269955661345723,"endHours":24.269955661345723,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:16","end":"01:16","startHours":24.269955661345723,"endHours":25.269955661345723,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:16","end":"02:16","startHours":25.269955661345723,"endHours":26.269955661345723,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:16","end":"03:16","startHours":26.269955661345723,"endHours":27.269955661345723,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:16","end":"04:16","startHours":27.269955661345723,"endHours":28.269955661345723,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:16","end":"05:16","startHours":28.269955661345723,"endHours":29.269955661345723,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:16","end":"06:16","startHours":29.269955661345723,"endHours":30.269955661345723,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North-East","rahuVasa":"North-West","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-7.544588013230311,"eotMinutes":14.442429208075392,"ayanamsa":22.5229}},"calendars":{"vikram_samvat":1961,"vikram_samvatsara":"Piṅgala","saka_samvat":1826,"saka_samvatsara":"Krodhi","bengali_samvat":1311,"malayalam_era":1080,"nanakshahi_year":435,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Pañcamī · Vikram 1961 Piṅgala · Śaka 1826 Krodhi"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 October 13, 1904 CE · Ṛṣikeśa · Vidhyamitra","description":"October 13, 1904 CE for Ṛṣikeśa: Śukla Pañcamī, sūryodaya 06:16, sūryāsta 17:49.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1904-10-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1904-10-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/1904-10-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/1904-10-13","x-default":"https://vidhyamitra.com/city/rishikesh/1904-10-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T20:32:31.167Z","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":"2026-05-31T20:32:31.167Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T20:32:31.167Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}