{"id":"vidhyamitra:city-day:noida:2137-10-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/noida/2137-10-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2137-10-13","date_display":"October 13, 2137 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":2137,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2501868.770833,"kali_year":5239,"ahargana":1913403.2708,"sun":{"sidereal_longitude":172.986,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":148.8955,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":335.9095,"elapsed_within_tithi_degrees":11.9095},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1,"moon_longitude":148.8955,"elapsed_within_degrees":2.2288},"yoga":{"number":25,"name":"Brahma","sum_longitude":321.8814},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2137,"month":10,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2501868.770833,"ahargana":1913403.2708,"kali_year":5239,"ayanamsa_lahiri":25.7777,"grahas":{"sun":{"sidereal_longitude":174.06017199999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":150.60617200000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false,"latitude":-0.7968},"mars":{"sidereal_longitude":105.74447199999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":192.73067200000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":217.753372,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":159.407372,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":261.22097199999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":318.6868,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":138.6868,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","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":2137,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2501868.770833,"kali_year":5239,"ahargana":1913403.2708,"sun":{"sidereal_longitude":172.986,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":148.8955,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":335.9095,"elapsed_within_tithi_degrees":11.9095},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1,"moon_longitude":148.8955,"elapsed_within_degrees":2.2288},"yoga":{"number":25,"name":"Brahma","sum_longitude":321.8814},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.797,"elongation":24.09},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.797,"opposition_distance":155.91}},"eclipse_window_40days":[{"offset_days":-14,"type":"lunar","occurs":true,"moon_latitude":1.319,"opposition_distance":2.706}]},"city":{"slug":"noida","name":"Noida, Uttar Pradesh","lat":28.5355,"lon":77.391,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"noida","name":"Noida, Uttar Pradesh","lat":28.5355,"lon":77.391,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tier-1"},"sunriseLocal":"06:19","sunsetLocal":"17:53","solarNoonLocal":"12:06","dayLengthHours":11.56148416875377,"dayLengthDisplay":"11 Hours 33 Mins 41 Secs","nightLengthDisplay":"12 Hours 26 Mins 19 Secs","moonriseLocal":"04:26","moonsetLocal":"16:38","rahuKala":{"name":"Rāhu Kāla","start":"16:26","end":"17:53","startHours":16.43544940981474,"endHours":17.88063493090896,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:06","end":"13:33","startHours":12.099892846532075,"endHours":13.545078367626298,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:59","end":"16:26","startHours":14.990263888720518,"endHours":16.43544940981474,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:01","end":"09:24","startHours":9.01683040153107,"endHours":9.402213207156196,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:48","end":"07:07","startHours":6.8008792691865985,"endHours":7.109185513686699,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:43","end":"12:29","startHours":11.71451004090695,"endHours":12.4852756521572,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:47","end":"05:33","startHours":4.7776195396546886,"endHours":5.54838515090494,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:21","end":"06:19","startHours":5.355693748092377,"endHours":6.319150762155191,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:02","end":"14:48","startHours":14.026806874657705,"endHours":14.797572485907956,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:41","end":"18:05","startHours":17.680634930908962,"endHours":18.08063493090896,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:53","end":"18:22","startHours":17.88063493090896,"endHours":18.362363437940367,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:38","end":"19:23","startHours":17.63063493090896,"endHours":19.38063493090896,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:43","end":"00:29","startHours":23.714510040906948,"endHours":24.485275652157203,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:19","end":"07:46","startHours":6.319150762155191,"endHours":7.7643362832494125,"quality":"inauspicious"},{"name":"Chala","start":"07:46","end":"09:13","startHours":7.7643362832494125,"endHours":9.209521804343634,"quality":"neutral"},{"name":"Labha","start":"09:13","end":"10:39","startHours":9.209521804343634,"endHours":10.654707325437855,"quality":"auspicious"},{"name":"Amṛta","start":"10:39","end":"12:06","startHours":10.654707325437855,"endHours":12.099892846532075,"quality":"auspicious"},{"name":"Kāla","start":"12:06","end":"13:33","startHours":12.099892846532075,"endHours":13.545078367626298,"quality":"inauspicious"},{"name":"Śubha","start":"13:33","end":"14:59","startHours":13.545078367626298,"endHours":14.990263888720518,"quality":"auspicious"},{"name":"Roga","start":"14:59","end":"16:26","startHours":14.990263888720518,"endHours":16.43544940981474,"quality":"inauspicious"},{"name":"Udveg","start":"16:26","end":"17:53","startHours":16.43544940981474,"endHours":17.88063493090896,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:53","end":"19:26","startHours":17.88063493090896,"endHours":19.43544940981474,"quality":"auspicious"},{"name":"Roga","start":"19:26","end":"20:59","startHours":19.43544940981474,"endHours":20.99026388872052,"quality":"inauspicious"},{"name":"Udveg","start":"20:59","end":"22:33","startHours":20.99026388872052,"endHours":22.545078367626296,"quality":"inauspicious"},{"name":"Chala","start":"22:33","end":"00:06","startHours":22.545078367626296,"endHours":24.099892846532075,"quality":"neutral"},{"name":"Labha","start":"00:06","end":"01:39","startHours":24.099892846532075,"endHours":25.654707325437855,"quality":"auspicious"},{"name":"Amṛta","start":"01:39","end":"03:13","startHours":25.654707325437855,"endHours":27.209521804343634,"quality":"auspicious"},{"name":"Kāla","start":"03:13","end":"04:46","startHours":27.209521804343634,"endHours":28.764336283249413,"quality":"inauspicious"},{"name":"Śubha","start":"04:46","end":"06:19","startHours":28.764336283249413,"endHours":30.31915076215519,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:19","end":"07:19","startHours":6.319150762155191,"endHours":7.319150762155191,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:19","end":"08:19","startHours":7.319150762155191,"endHours":8.319150762155191,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:19","end":"09:19","startHours":8.319150762155191,"endHours":9.319150762155191,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:19","end":"10:19","startHours":9.319150762155191,"endHours":10.319150762155191,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:19","end":"11:19","startHours":10.319150762155191,"endHours":11.319150762155191,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:19","end":"12:19","startHours":11.319150762155191,"endHours":12.319150762155191,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:19","end":"13:19","startHours":12.319150762155191,"endHours":13.319150762155191,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:19","end":"14:19","startHours":13.319150762155191,"endHours":14.319150762155191,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:19","end":"15:19","startHours":14.319150762155191,"endHours":15.319150762155191,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:19","end":"16:19","startHours":15.319150762155191,"endHours":16.31915076215519,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:19","end":"17:19","startHours":16.31915076215519,"endHours":17.31915076215519,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:19","end":"18:19","startHours":17.31915076215519,"endHours":18.31915076215519,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:19","end":"19:19","startHours":18.31915076215519,"endHours":19.31915076215519,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:19","end":"20:19","startHours":19.31915076215519,"endHours":20.31915076215519,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:19","end":"21:19","startHours":20.31915076215519,"endHours":21.31915076215519,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:19","end":"22:19","startHours":21.31915076215519,"endHours":22.31915076215519,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:19","end":"23:19","startHours":22.31915076215519,"endHours":23.31915076215519,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:19","end":"00:19","startHours":23.31915076215519,"endHours":24.31915076215519,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:19","end":"01:19","startHours":24.31915076215519,"endHours":25.31915076215519,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:19","end":"02:19","startHours":25.31915076215519,"endHours":26.31915076215519,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:19","end":"03:19","startHours":26.31915076215519,"endHours":27.31915076215519,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:19","end":"04:19","startHours":27.31915076215519,"endHours":28.31915076215519,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:19","end":"05:19","startHours":28.31915076215519,"endHours":29.31915076215519,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:19","end":"06:19","startHours":29.31915076215519,"endHours":30.31915076215519,"planetary_lord":"Jupiter"}],"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":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Maitra","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":-7.757139138109431,"eotMinutes":14.442429208075392,"ayanamsa":25.7777}},"calendars":{"vikram_samvat":2194,"vikram_samvatsara":"Sādhāraṇa","saka_samvat":2059,"saka_samvatsara":"Hemalambī","bengali_samvat":1544,"malayalam_era":1313,"nanakshahi_year":668,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Bhādrapada","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 Kṛṣṇa Trayodaśī · Vikram 2194 Sādhāraṇa · Śaka 2059 Hemalambī"},"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":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"noida"},"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, 2137 CE · Noida, Uttar Pradesh · Vidhyamitra","description":"October 13, 2137 CE for Noida, Uttar Pradesh: Kṛṣṇa Trayodaśī, sūryodaya 06:19, sūryāsta 17:53.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/noida/2137-10-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/noida/2137-10-13","sa":"https://sa.vidhyamitra.com/city/noida/2137-10-13","hi":"https://hi.vidhyamitra.com/city/noida/2137-10-13","x-default":"https://vidhyamitra.com/city/noida/2137-10-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T05:09:20.398Z","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":"2026-06-03T05:09:20.398Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T05:09:20.398Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}