{"id":"vidhyamitra:city-day:rishikesh:2037-05-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2037-05-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2037-05-13","date_display":"May 13, 2037 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":2037,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2465191.770833,"kali_year":5139,"ahargana":1876726.2708,"sun":{"sidereal_longitude":28.1783,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":1.4694,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":333.2912,"elapsed_within_tithi_degrees":9.2912},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":1.4694,"elapsed_within_degrees":1.4694},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":29.6477},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"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":2037,"month":5,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2465191.770833,"ahargana":1876726.2708,"kali_year":5139,"ayanamsa_lahiri":24.3749,"grahas":{"sun":{"sidereal_longitude":28.269603000000018,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":2.5156029999999987,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false,"latitude":-4.4239},"mars":{"sidereal_longitude":318.6867030000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":1.6201029999999719,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":62.36760300000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":41.34470299999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":121.29380300000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":102.0107,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":282.0107,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","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":2037,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2465191.770833,"kali_year":5139,"ahargana":1876726.2708,"sun":{"sidereal_longitude":28.1783,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":1.4694,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":333.2912,"elapsed_within_tithi_degrees":9.2912},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":1.4694,"elapsed_within_degrees":1.4694},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":29.6477},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.424,"elongation":26.709},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.424,"opposition_distance":153.291}},"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":"05:25","sunsetLocal":"19:02","solarNoonLocal":"12:13","dayLengthHours":13.622437081451588,"dayLengthDisplay":"13 Hours 37 Mins 21 Secs","nightLengthDisplay":"10 Hours 22 Mins 39 Secs","moonriseLocal":"04:03","moonsetLocal":"16:57","rahuKala":{"name":"Rāhu Kāla","start":"12:13","end":"13:55","startHours":12.219602687607395,"endHours":13.922407322788843,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:07","end":"08:49","startHours":7.111188782063048,"endHours":8.813993417244497,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:31","end":"12:13","startHours":10.516798052425946,"endHours":12.219602687607395,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:35","end":"09:02","startHours":8.586952799220304,"endHours":9.04103403526869,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:59","end":"06:20","startHours":5.975985691942083,"endHours":6.339250680780792,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:40","startHours":11.765521451559007,"endHours":12.67368392365578,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:36","end":"04:30","startHours":3.5920592026880547,"endHours":4.500221674784828,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:16","end":"05:25","startHours":4.2731810567606345,"endHours":5.4083841468816,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:29","end":"15:24","startHours":14.490008867849326,"endHours":15.3981713399461,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:50","end":"19:14","startHours":18.83082122833319,"endHours":19.230821228333188,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:02","end":"19:36","startHours":19.03082122833319,"endHours":19.598422773393672,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:47","end":"20:32","startHours":18.78082122833319,"endHours":20.53082122833319,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:40","startHours":23.765521451559007,"endHours":24.673683923655776,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:25","end":"07:07","startHours":5.4083841468816,"endHours":7.111188782063048,"quality":"auspicious"},{"name":"Amṛta","start":"07:07","end":"08:49","startHours":7.111188782063048,"endHours":8.813993417244497,"quality":"auspicious"},{"name":"Kāla","start":"08:49","end":"10:31","startHours":8.813993417244497,"endHours":10.516798052425946,"quality":"inauspicious"},{"name":"Śubha","start":"10:31","end":"12:13","startHours":10.516798052425946,"endHours":12.219602687607395,"quality":"auspicious"},{"name":"Roga","start":"12:13","end":"13:55","startHours":12.219602687607395,"endHours":13.922407322788843,"quality":"inauspicious"},{"name":"Udveg","start":"13:55","end":"15:38","startHours":13.922407322788843,"endHours":15.625211957970292,"quality":"inauspicious"},{"name":"Chala","start":"15:38","end":"17:20","startHours":15.625211957970292,"endHours":17.328016593151737,"quality":"neutral"},{"name":"Labha","start":"17:20","end":"19:02","startHours":17.328016593151737,"endHours":19.03082122833319,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:02","end":"20:20","startHours":19.03082122833319,"endHours":20.32801659315174,"quality":"inauspicious"},{"name":"Chala","start":"20:20","end":"21:38","startHours":20.32801659315174,"endHours":21.62521195797029,"quality":"neutral"},{"name":"Labha","start":"21:38","end":"22:55","startHours":21.62521195797029,"endHours":22.922407322788843,"quality":"auspicious"},{"name":"Amṛta","start":"22:55","end":"00:13","startHours":22.922407322788843,"endHours":24.219602687607395,"quality":"auspicious"},{"name":"Kāla","start":"00:13","end":"01:31","startHours":24.219602687607395,"endHours":25.516798052425948,"quality":"inauspicious"},{"name":"Śubha","start":"01:31","end":"02:49","startHours":25.516798052425948,"endHours":26.813993417244497,"quality":"auspicious"},{"name":"Roga","start":"02:49","end":"04:07","startHours":26.813993417244497,"endHours":28.11118878206305,"quality":"inauspicious"},{"name":"Udveg","start":"04:07","end":"05:25","startHours":28.11118878206305,"endHours":29.408384146881602,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:25","end":"06:25","startHours":5.4083841468816,"endHours":6.4083841468816,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:25","end":"07:25","startHours":6.4083841468816,"endHours":7.4083841468816,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:25","end":"08:25","startHours":7.4083841468816,"endHours":8.4083841468816,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:25","end":"09:25","startHours":8.4083841468816,"endHours":9.4083841468816,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:25","end":"10:25","startHours":9.4083841468816,"endHours":10.4083841468816,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:25","end":"11:25","startHours":10.4083841468816,"endHours":11.4083841468816,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:25","end":"12:25","startHours":11.4083841468816,"endHours":12.4083841468816,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:25","end":"13:25","startHours":12.4083841468816,"endHours":13.4083841468816,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:25","end":"14:25","startHours":13.4083841468816,"endHours":14.4083841468816,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:25","end":"15:25","startHours":14.4083841468816,"endHours":15.4083841468816,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:25","end":"16:25","startHours":15.4083841468816,"endHours":16.408384146881602,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:25","end":"17:25","startHours":16.408384146881602,"endHours":17.408384146881602,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:25","end":"18:25","startHours":17.408384146881602,"endHours":18.408384146881602,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:25","end":"19:25","startHours":18.408384146881602,"endHours":19.408384146881602,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:25","end":"20:25","startHours":19.408384146881602,"endHours":20.408384146881602,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:25","end":"21:25","startHours":20.408384146881602,"endHours":21.408384146881602,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:25","end":"22:25","startHours":21.408384146881602,"endHours":22.408384146881602,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:25","end":"23:25","startHours":22.408384146881602,"endHours":23.408384146881602,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:25","end":"00:25","startHours":23.408384146881602,"endHours":24.408384146881602,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:25","end":"01:25","startHours":24.408384146881602,"endHours":25.408384146881602,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:25","end":"02:25","startHours":25.408384146881602,"endHours":26.408384146881602,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:25","end":"03:25","startHours":26.408384146881602,"endHours":27.408384146881602,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:25","end":"04:25","startHours":27.408384146881602,"endHours":28.408384146881602,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:25","end":"05:25","startHours":28.408384146881602,"endHours":29.408384146881602,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","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":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.43037434802042,"eotMinutes":3.7534387435564067,"ayanamsa":24.3749}},"calendars":{"vikram_samvat":2094,"vikram_samvatsara":"Pramoda","saka_samvat":1959,"saka_samvatsara":"Piṅgala","bengali_samvat":1444,"malayalam_era":1213,"nanakshahi_year":568,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Trayodaśī · Vikram 2094 Pramoda · Śaka 1959 Piṅgala"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","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, 2037 CE · Ṛṣikeśa · Vidhyamitra","description":"May 13, 2037 CE for Ṛṣikeśa: Kṛṣṇa Trayodaśī, sūryodaya 05:25, sūryāsta 19:02.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2037-05-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2037-05-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2037-05-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2037-05-13","x-default":"https://vidhyamitra.com/city/rishikesh/2037-05-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T18:16:36.643Z","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":"2026-05-31T18:16:36.643Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T18:16:36.643Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}