{"id":"vidhyamitra:city-day:rishikesh:2116-05-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2116-05-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2116-05-13","date_display":"May 13, 2116 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":2116,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2494045.770833,"kali_year":5218,"ahargana":1905580.2708,"sun":{"sidereal_longitude":26.7944,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":30.6291,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":3.8346,"elapsed_within_tithi_degrees":3.8346},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2,"moon_longitude":30.6291,"elapsed_within_degrees":3.9624},"yoga":{"number":5,"name":"Śobhana","sum_longitude":57.4235},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"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":2116,"month":5,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2494045.770833,"ahargana":1905580.2708,"kali_year":5218,"ayanamsa_lahiri":25.4785,"grahas":{"sun":{"sidereal_longitude":27.063767999999982,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":31.805367999999987,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false,"latitude":1.3476},"mars":{"sidereal_longitude":317.610768,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":359.175768,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":307.114368,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":17.291067999999996,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":4.620068000000003,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":13.187,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":193.187,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","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":2116,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2494045.770833,"kali_year":5218,"ahargana":1905580.2708,"sun":{"sidereal_longitude":26.7944,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":30.6291,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":3.8346,"elapsed_within_tithi_degrees":3.8346},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2,"moon_longitude":30.6291,"elapsed_within_degrees":3.9624},"yoga":{"number":5,"name":"Śobhana","sum_longitude":57.4235},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.348,"elongation":3.835},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.348,"opposition_distance":176.165}},"eclipse_window_40days":[{"offset_days":-16,"type":"lunar","occurs":true,"moon_latitude":0.141,"opposition_distance":0.872}]},"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":"05:25","sunsetLocal":"19:02","solarNoonLocal":"12:13","dayLengthHours":13.620130705428208,"dayLengthDisplay":"13 Hours 37 Mins 12 Secs","nightLengthDisplay":"10 Hours 22 Mins 48 Secs","moonriseLocal":"05:42","moonsetLocal":"19:23","rahuKala":{"name":"Rāhu Kāla","start":"12:13","end":"13:55","startHours":12.219602687607392,"endHours":13.922119025785918,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:07","end":"08:49","startHours":7.112053673071815,"endHours":8.814570011250341,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:31","end":"12:13","startHours":10.517086349428865,"endHours":12.219602687607392,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:35","end":"09:02","startHours":8.587567832826537,"endHours":9.041572189674143,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:59","end":"06:20","startHours":5.9770427809527975,"endHours":6.340246266430883,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:40","startHours":11.765598330759786,"endHours":12.673607044455,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:36","end":"04:30","startHours":3.593519907502861,"endHours":4.501528621198075,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:16","end":"05:25","startHours":4.274526442774271,"endHours":5.4095373348932885,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:29","end":"15:24","startHours":14.489624471845428,"endHours":15.397633185540641,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:50","end":"19:14","startHours":18.829668040321497,"endHours":19.229668040321496,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:02","end":"19:36","startHours":19.029668040321496,"endHours":19.597173486381006,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:47","end":"20:32","startHours":18.779668040321496,"endHours":20.529668040321496,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:40","startHours":23.765598330759783,"endHours":24.673607044455,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:25","end":"07:07","startHours":5.4095373348932885,"endHours":7.112053673071815,"quality":"auspicious"},{"name":"Amṛta","start":"07:07","end":"08:49","startHours":7.112053673071815,"endHours":8.814570011250341,"quality":"auspicious"},{"name":"Kāla","start":"08:49","end":"10:31","startHours":8.814570011250341,"endHours":10.517086349428865,"quality":"inauspicious"},{"name":"Śubha","start":"10:31","end":"12:13","startHours":10.517086349428865,"endHours":12.219602687607392,"quality":"auspicious"},{"name":"Roga","start":"12:13","end":"13:55","startHours":12.219602687607392,"endHours":13.922119025785918,"quality":"inauspicious"},{"name":"Udveg","start":"13:55","end":"15:37","startHours":13.922119025785918,"endHours":15.624635363964444,"quality":"inauspicious"},{"name":"Chala","start":"15:37","end":"17:20","startHours":15.624635363964444,"endHours":17.32715170214297,"quality":"neutral"},{"name":"Labha","start":"17:20","end":"19:02","startHours":17.32715170214297,"endHours":19.029668040321496,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:02","end":"20:20","startHours":19.029668040321496,"endHours":20.32715170214297,"quality":"inauspicious"},{"name":"Chala","start":"20:20","end":"21:37","startHours":20.32715170214297,"endHours":21.624635363964444,"quality":"neutral"},{"name":"Labha","start":"21:37","end":"22:55","startHours":21.624635363964444,"endHours":22.922119025785918,"quality":"auspicious"},{"name":"Amṛta","start":"22:55","end":"00:13","startHours":22.922119025785918,"endHours":24.21960268760739,"quality":"auspicious"},{"name":"Kāla","start":"00:13","end":"01:31","startHours":24.21960268760739,"endHours":25.517086349428865,"quality":"inauspicious"},{"name":"Śubha","start":"01:31","end":"02:49","startHours":25.517086349428865,"endHours":26.81457001125034,"quality":"auspicious"},{"name":"Roga","start":"02:49","end":"04:07","startHours":26.81457001125034,"endHours":28.112053673071813,"quality":"inauspicious"},{"name":"Udveg","start":"04:07","end":"05:25","startHours":28.112053673071813,"endHours":29.409537334893287,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:25","end":"06:25","startHours":5.4095373348932885,"endHours":6.4095373348932885,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:25","end":"07:25","startHours":6.4095373348932885,"endHours":7.4095373348932885,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:25","end":"08:25","startHours":7.4095373348932885,"endHours":8.409537334893288,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:25","end":"09:25","startHours":8.409537334893288,"endHours":9.409537334893288,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:25","end":"10:25","startHours":9.409537334893288,"endHours":10.409537334893288,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:25","end":"11:25","startHours":10.409537334893288,"endHours":11.409537334893288,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:25","end":"12:25","startHours":11.409537334893288,"endHours":12.409537334893288,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:25","end":"13:25","startHours":12.409537334893288,"endHours":13.409537334893288,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:25","end":"14:25","startHours":13.409537334893288,"endHours":14.409537334893288,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:25","end":"15:25","startHours":14.409537334893288,"endHours":15.409537334893288,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:25","end":"16:25","startHours":15.409537334893288,"endHours":16.409537334893287,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:25","end":"17:25","startHours":16.409537334893287,"endHours":17.409537334893287,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:25","end":"18:25","startHours":17.409537334893287,"endHours":18.409537334893287,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:25","end":"19:25","startHours":18.409537334893287,"endHours":19.409537334893287,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:25","end":"20:25","startHours":19.409537334893287,"endHours":20.409537334893287,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:25","end":"21:25","startHours":20.409537334893287,"endHours":21.409537334893287,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:25","end":"22:25","startHours":21.409537334893287,"endHours":22.409537334893287,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:25","end":"23:25","startHours":22.409537334893287,"endHours":23.409537334893287,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:25","end":"00:25","startHours":23.409537334893287,"endHours":24.409537334893287,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:25","end":"01:25","startHours":24.409537334893287,"endHours":25.409537334893287,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:25","end":"02:25","startHours":25.409537334893287,"endHours":26.409537334893287,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:25","end":"03:25","startHours":26.409537334893287,"endHours":27.409537334893287,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:25","end":"04:25","startHours":27.409537334893287,"endHours":28.409537334893287,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:25","end":"05:25","startHours":28.409537334893287,"endHours":29.409537334893287,"planetary_lord":"Sun"}],"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Lumba","quality":"Auspicious"},"drikRitu":"Vasanta (Spring) (Drik)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":18.404339923230378,"eotMinutes":3.7534387435564067,"ayanamsa":25.4785}},"calendars":{"vikram_samvat":2173,"vikram_samvatsara":"Virodhi","saka_samvat":2038,"saka_samvatsara":"Dhātṛ","bengali_samvat":1523,"malayalam_era":1292,"nanakshahi_year":647,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Pratipada · Vikram 2173 Virodhi · Śaka 2038 Dhātṛ"},"festivals":[{"id":"mesha-sankranti","name":"Meṣa Saṅkrānti (Vaiśākhī / Vishu / Pohelā Boishākh / Bihu)","name_sanskrit":"मेष सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Aries; solar new year. Regional: Vaiśākhī (Punjab) · Vishu (Kerala) · Pohelā Boishākh (Bengal) · Bihu (Assam) · Tamil Puthāṇḍu.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":1},{"id":"baisakhi","name":"Baisakhi (Vaiśākhī)","name_sanskrit":"वैशाखी","tradition":"Regional","associated_deity":"Sūrya + Khalsa Pantha (Sikh)","significance":"Punjab New Year + Sikh Khalsa founding day.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":2}],"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":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","relevance":0.5}]},"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 May 13, 2116 CE · Ṛṣikeśa · Vidhyamitra","description":"May 13, 2116 CE for Ṛṣikeśa: Śukla Pratipada, sūryodaya 05:25, sūryāsta 19:02.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2116-05-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2116-05-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2116-05-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2116-05-13","x-default":"https://vidhyamitra.com/city/rishikesh/2116-05-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-22T06:25:29.307Z","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":"2026-05-22T06:25:29.307Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-22T06:25:29.307Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}