{"id":"vidhyamitra:city-day:cuttack:2102-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/cuttack/2102-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2102-07-13","date_display":"July 13, 2102 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":2102,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488992.770833,"kali_year":5204,"ahargana":1900527.2708,"sun":{"sidereal_longitude":84.4173,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":58.7746,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":334.3573,"elapsed_within_tithi_degrees":10.3573},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":58.7746,"elapsed_within_degrees":5.4413},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":143.1919},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"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":2102,"month":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2488992.770833,"ahargana":1900527.2708,"kali_year":5204,"ayanamsa_lahiri":25.2852,"grahas":{"sun":{"sidereal_longitude":85.06653,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"moon":{"sidereal_longitude":60.07652999999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false,"latitude":3.0178},"mars":{"sidereal_longitude":125.86493000000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":97.18412999999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":229.92393000000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":62.452530000000024,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":197.31013000000007,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":280.9192,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":100.9192,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","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":2102,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488992.770833,"kali_year":5204,"ahargana":1900527.2708,"sun":{"sidereal_longitude":84.4173,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":58.7746,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":334.3573,"elapsed_within_tithi_degrees":10.3573},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":58.7746,"elapsed_within_degrees":5.4413},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":143.1919},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.018,"elongation":25.643},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.018,"opposition_distance":154.357}},"eclipse_window_40days":[{"offset_days":2,"type":"solar","occurs":true,"moon_latitude":1.294,"elongation":2.229},{"offset_days":17,"type":"lunar","occurs":true,"moon_latitude":0.063,"opposition_distance":0.292}]},"city":{"slug":"cuttack","name":"Cuttack, Odisha","lat":20.4625,"lon":85.8828,"tz_offset_hours":5.5,"state":"Odisha","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"cuttack","name":"Cuttack, Odisha","lat":20.4625,"lon":85.8828,"tz_offset_hours":5.5,"state":"Odisha","country":"IN","tier":"tier-1"},"sunriseLocal":"05:13","sunsetLocal":"18:30","solarNoonLocal":"11:52","dayLengthHours":13.279353115537376,"dayLengthDisplay":"13 Hours 16 Mins 46 Secs","nightLengthDisplay":"10 Hours 43 Mins 14 Secs","moonriseLocal":"03:32","moonsetLocal":"16:52","rahuKala":{"name":"Rāhu Kāla","start":"13:31","end":"15:11","startHours":13.523756286878182,"endHours":15.183675426320356,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:13","end":"06:53","startHours":5.224160589667323,"endHours":6.884079729109495,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:33","end":"10:12","startHours":8.543998868551668,"endHours":10.203918007993838,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:19","end":"08:46","startHours":8.322676316626044,"endHours":8.76532142047729,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:47","end":"06:08","startHours":5.777466969481381,"endHours":6.131583052562378,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:25","end":"12:18","startHours":11.421192043584766,"endHours":12.306482251287258,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:27","end":"04:20","startHours":3.45358017426234,"endHours":4.338870381964831,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:07","end":"05:13","startHours":4.117547830039209,"endHours":5.224160589667323,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:05","end":"14:58","startHours":14.077062666692239,"endHours":14.96235287439473,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:18","end":"18:42","startHours":18.3035137052047,"endHours":18.7035137052047,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:30","end":"19:03","startHours":18.5035137052047,"endHours":19.056820085018757,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:15","end":"20:00","startHours":18.2535137052047,"endHours":20.0035137052047,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:25","end":"00:18","startHours":23.421192043584767,"endHours":24.306482251287257,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:13","end":"06:53","startHours":5.224160589667323,"endHours":6.884079729109495,"quality":"auspicious"},{"name":"Roga","start":"06:53","end":"08:33","startHours":6.884079729109495,"endHours":8.543998868551668,"quality":"inauspicious"},{"name":"Udveg","start":"08:33","end":"10:12","startHours":8.543998868551668,"endHours":10.203918007993838,"quality":"inauspicious"},{"name":"Chala","start":"10:12","end":"11:52","startHours":10.203918007993838,"endHours":11.863837147436012,"quality":"neutral"},{"name":"Labha","start":"11:52","end":"13:31","startHours":11.863837147436012,"endHours":13.523756286878182,"quality":"auspicious"},{"name":"Amṛta","start":"13:31","end":"15:11","startHours":13.523756286878182,"endHours":15.183675426320356,"quality":"auspicious"},{"name":"Kāla","start":"15:11","end":"16:51","startHours":15.183675426320356,"endHours":16.843594565762526,"quality":"inauspicious"},{"name":"Śubha","start":"16:51","end":"18:30","startHours":16.843594565762526,"endHours":18.5035137052047,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:30","end":"19:51","startHours":18.5035137052047,"endHours":19.84359456576253,"quality":"auspicious"},{"name":"Kāla","start":"19:51","end":"21:11","startHours":19.84359456576253,"endHours":21.183675426320356,"quality":"inauspicious"},{"name":"Śubha","start":"21:11","end":"22:31","startHours":21.183675426320356,"endHours":22.523756286878182,"quality":"auspicious"},{"name":"Roga","start":"22:31","end":"23:52","startHours":22.523756286878182,"endHours":23.863837147436012,"quality":"inauspicious"},{"name":"Udveg","start":"23:52","end":"01:12","startHours":23.863837147436012,"endHours":25.203918007993842,"quality":"inauspicious"},{"name":"Chala","start":"01:12","end":"02:33","startHours":25.203918007993842,"endHours":26.543998868551668,"quality":"neutral"},{"name":"Labha","start":"02:33","end":"03:53","startHours":26.543998868551668,"endHours":27.884079729109494,"quality":"auspicious"},{"name":"Amṛta","start":"03:53","end":"05:13","startHours":27.884079729109494,"endHours":29.224160589667324,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:13","end":"06:13","startHours":5.224160589667323,"endHours":6.224160589667323,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:13","end":"07:13","startHours":6.224160589667323,"endHours":7.224160589667323,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:13","end":"08:13","startHours":7.224160589667323,"endHours":8.224160589667324,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:13","end":"09:13","startHours":8.224160589667324,"endHours":9.224160589667324,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:13","end":"10:13","startHours":9.224160589667324,"endHours":10.224160589667324,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:13","end":"11:13","startHours":10.224160589667324,"endHours":11.224160589667324,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:13","end":"12:13","startHours":11.224160589667324,"endHours":12.224160589667324,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:13","end":"13:13","startHours":12.224160589667324,"endHours":13.224160589667324,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:13","end":"14:13","startHours":13.224160589667324,"endHours":14.224160589667324,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:13","end":"15:13","startHours":14.224160589667324,"endHours":15.224160589667324,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:13","end":"16:13","startHours":15.224160589667324,"endHours":16.224160589667324,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:13","end":"17:13","startHours":16.224160589667324,"endHours":17.224160589667324,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:13","end":"18:13","startHours":17.224160589667324,"endHours":18.224160589667324,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:13","end":"19:13","startHours":18.224160589667324,"endHours":19.224160589667324,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:13","end":"20:13","startHours":19.224160589667324,"endHours":20.224160589667324,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:13","end":"21:13","startHours":20.224160589667324,"endHours":21.224160589667324,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:13","end":"22:13","startHours":21.224160589667324,"endHours":22.224160589667324,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:13","end":"23:13","startHours":22.224160589667324,"endHours":23.224160589667324,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:13","end":"00:13","startHours":23.224160589667324,"endHours":24.224160589667324,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:13","end":"01:13","startHours":24.224160589667324,"endHours":25.224160589667324,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:13","end":"02:13","startHours":25.224160589667324,"endHours":26.224160589667324,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:13","end":"03:13","startHours":26.224160589667324,"endHours":27.224160589667324,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:13","end":"04:13","startHours":27.224160589667324,"endHours":28.224160589667324,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:13","end":"05:13","startHours":28.224160589667324,"endHours":29.224160589667324,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":21.89483492908428,"eotMinutes":-5.361428846160681,"ayanamsa":25.2852}},"calendars":{"vikram_samvat":2159,"vikram_samvatsara":"Yuva","saka_samvat":2024,"saka_samvatsara":"Dundubhi","bengali_samvat":1509,"malayalam_era":1278,"nanakshahi_year":633,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Jyeṣṭha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Trayodaśī · Vikram 2159 Yuva · Śaka 2024 Dundubhi"},"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":"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":"cuttack"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga July 13, 2102 CE · Cuttack, Odisha · Vidhyamitra","description":"July 13, 2102 CE for Cuttack, Odisha: Kṛṣṇa Trayodaśī, sūryodaya 05:13, sūryāsta 18:30.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/cuttack/2102-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/cuttack/2102-07-13","sa":"https://sa.vidhyamitra.com/city/cuttack/2102-07-13","hi":"https://hi.vidhyamitra.com/city/cuttack/2102-07-13","x-default":"https://vidhyamitra.com/city/cuttack/2102-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T16:54:04.974Z","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":"2026-06-01T16:54:04.974Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T16:54:04.974Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}