{"id":"vidhyamitra:city-day:rishikesh:2086-05-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2086-05-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2086-05-13","date_display":"May 13, 2086 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":2086,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483088.770833,"kali_year":5188,"ahargana":1894623.2708,"sun":{"sidereal_longitude":27.5266,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":28.4041,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":0.8775,"elapsed_within_tithi_degrees":0.8775},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":28.4041,"elapsed_within_degrees":1.7375},"yoga":{"number":5,"name":"Śobhana","sum_longitude":55.9307},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2086,"month":5,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2483088.770833,"ahargana":1894623.2708,"kali_year":5188,"ayanamsa_lahiri":25.0594,"grahas":{"sun":{"sidereal_longitude":27.729906000000028,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":27.32300600000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false,"latitude":1.9241},"mars":{"sidereal_longitude":333.48790599999995,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":39.36530600000003,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":104.388506,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"venus":{"sidereal_longitude":349.828606,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":358.507806,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":233.7415,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":53.7415,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"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":2086,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483088.770833,"kali_year":5188,"ahargana":1894623.2708,"sun":{"sidereal_longitude":27.5266,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":28.4041,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":0.8775,"elapsed_within_tithi_degrees":0.8775},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":28.4041,"elapsed_within_degrees":1.7375},"yoga":{"number":5,"name":"Śobhana","sum_longitude":55.9307},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.924,"elongation":0.877},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.924,"opposition_distance":179.123}},"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":"05:24","sunsetLocal":"19:02","solarNoonLocal":"12:13","dayLengthHours":13.625696646436177,"dayLengthDisplay":"13 Hours 37 Mins 33 Secs","nightLengthDisplay":"10 Hours 22 Mins 27 Secs","moonriseLocal":"05:24","moonsetLocal":"18:59","rahuKala":{"name":"Rāhu Kāla","start":"07:07","end":"08:49","startHours":7.109966445193828,"endHours":8.81317852599835,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:31","end":"12:13","startHours":10.516390606802872,"endHours":12.219602687607395,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:55","end":"15:38","startHours":13.922814768411916,"endHours":15.626026849216439,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:35","end":"09:02","startHours":8.586083581891081,"endHours":9.04027347010562,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:58","end":"06:20","startHours":5.974491724657479,"endHours":6.3378436352291105,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:40","startHours":11.765412799392854,"endHours":12.673792575821933,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:35","end":"04:30","startHours":3.589994811531149,"endHours":4.498374587960227,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:16","end":"05:24","startHours":4.271279643852957,"endHours":5.406754364389306,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:29","end":"15:24","startHours":14.490552128680092,"endHours":15.39893190510917,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:50","end":"19:14","startHours":18.832451010825483,"endHours":19.232451010825482,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:02","end":"19:36","startHours":19.032451010825483,"endHours":19.600188371093658,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:47","end":"20:32","startHours":18.782451010825483,"endHours":20.532451010825483,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:40","startHours":23.765412799392852,"endHours":24.67379257582193,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:24","end":"07:07","startHours":5.406754364389306,"endHours":7.109966445193828,"quality":"auspicious"},{"name":"Kāla","start":"07:07","end":"08:49","startHours":7.109966445193828,"endHours":8.81317852599835,"quality":"inauspicious"},{"name":"Śubha","start":"08:49","end":"10:31","startHours":8.81317852599835,"endHours":10.516390606802872,"quality":"auspicious"},{"name":"Roga","start":"10:31","end":"12:13","startHours":10.516390606802872,"endHours":12.219602687607395,"quality":"inauspicious"},{"name":"Udveg","start":"12:13","end":"13:55","startHours":12.219602687607395,"endHours":13.922814768411916,"quality":"inauspicious"},{"name":"Chala","start":"13:55","end":"15:38","startHours":13.922814768411916,"endHours":15.626026849216439,"quality":"neutral"},{"name":"Labha","start":"15:38","end":"17:20","startHours":15.626026849216439,"endHours":17.32923893002096,"quality":"auspicious"},{"name":"Amṛta","start":"17:20","end":"19:02","startHours":17.32923893002096,"endHours":19.032451010825483,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:02","end":"20:20","startHours":19.032451010825483,"endHours":20.32923893002096,"quality":"neutral"},{"name":"Labha","start":"20:20","end":"21:38","startHours":20.32923893002096,"endHours":21.626026849216437,"quality":"auspicious"},{"name":"Amṛta","start":"21:38","end":"22:55","startHours":21.626026849216437,"endHours":22.922814768411918,"quality":"auspicious"},{"name":"Kāla","start":"22:55","end":"00:13","startHours":22.922814768411918,"endHours":24.219602687607395,"quality":"inauspicious"},{"name":"Śubha","start":"00:13","end":"01:31","startHours":24.219602687607395,"endHours":25.516390606802872,"quality":"auspicious"},{"name":"Roga","start":"01:31","end":"02:49","startHours":25.516390606802872,"endHours":26.81317852599835,"quality":"inauspicious"},{"name":"Udveg","start":"02:49","end":"04:07","startHours":26.81317852599835,"endHours":28.109966445193827,"quality":"inauspicious"},{"name":"Chala","start":"04:07","end":"05:24","startHours":28.109966445193827,"endHours":29.406754364389307,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:24","end":"06:24","startHours":5.406754364389306,"endHours":6.406754364389306,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:24","end":"07:24","startHours":6.406754364389306,"endHours":7.406754364389306,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:24","end":"08:24","startHours":7.406754364389306,"endHours":8.406754364389306,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:24","end":"09:24","startHours":8.406754364389306,"endHours":9.406754364389306,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:24","end":"10:24","startHours":9.406754364389306,"endHours":10.406754364389306,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:24","end":"11:24","startHours":10.406754364389306,"endHours":11.406754364389306,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:24","end":"12:24","startHours":11.406754364389306,"endHours":12.406754364389306,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:24","end":"13:24","startHours":12.406754364389306,"endHours":13.406754364389306,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:24","end":"14:24","startHours":13.406754364389306,"endHours":14.406754364389306,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:24","end":"15:24","startHours":14.406754364389306,"endHours":15.406754364389306,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:24","end":"16:24","startHours":15.406754364389306,"endHours":16.406754364389307,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:24","end":"17:24","startHours":16.406754364389307,"endHours":17.406754364389307,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:24","end":"18:24","startHours":17.406754364389307,"endHours":18.406754364389307,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:24","end":"19:24","startHours":18.406754364389307,"endHours":19.406754364389307,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:24","end":"20:24","startHours":19.406754364389307,"endHours":20.406754364389307,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:24","end":"21:24","startHours":20.406754364389307,"endHours":21.406754364389307,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:24","end":"22:24","startHours":21.406754364389307,"endHours":22.406754364389307,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:24","end":"23:24","startHours":22.406754364389307,"endHours":23.406754364389307,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:24","end":"00:24","startHours":23.406754364389307,"endHours":24.406754364389307,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:24","end":"01:24","startHours":24.406754364389307,"endHours":25.406754364389307,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:24","end":"02:24","startHours":25.406754364389307,"endHours":26.406754364389307,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:24","end":"03:24","startHours":26.406754364389307,"endHours":27.406754364389307,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:24","end":"04:24","startHours":27.406754364389307,"endHours":28.406754364389307,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:24","end":"05:24","startHours":28.406754364389307,"endHours":29.406754364389307,"planetary_lord":"Venus"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Dhvaja","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":18.46715150988703,"eotMinutes":3.7534387435564067,"ayanamsa":25.0594}},"calendars":{"vikram_samvat":2143,"vikram_samvatsara":"Siddhārthī","saka_samvat":2008,"saka_samvatsara":"Parābhava","bengali_samvat":1493,"malayalam_era":1262,"nanakshahi_year":617,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Pratipada · Vikram 2143 Siddhārthī · Śaka 2008 Parābhava"},"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":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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, 2086 CE · Ṛṣikeśa · Vidhyamitra","description":"May 13, 2086 CE for Ṛṣikeśa: Śukla Pratipada, sūryodaya 05:24, sūryāsta 19:02.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2086-05-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2086-05-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2086-05-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2086-05-13","x-default":"https://vidhyamitra.com/city/rishikesh/2086-05-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-19T22:12:54.656Z","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":"2026-05-19T22:12:54.656Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-19T22:12:54.656Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}