{"id":"vidhyamitra:city-day:noida:2138-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/noida/2138-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2138-07-13","date_display":"July 13, 2138 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":2138,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502141.770833,"kali_year":5240,"ahargana":1913676.2708,"sun":{"sidereal_longitude":84.1188,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":151.5555,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":67.4367,"elapsed_within_tithi_degrees":7.4367},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":151.5555,"elapsed_within_degrees":4.8888},"yoga":{"number":18,"name":"Varīyān","sum_longitude":235.6744},"karana":{"half_tithi_index":11,"name":"Taitila"},"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":2138,"month":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2502141.770833,"ahargana":1913676.2708,"kali_year":5240,"ayanamsa_lahiri":25.7881,"grahas":{"sun":{"sidereal_longitude":84.85324200000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"moon":{"sidereal_longitude":148.069642,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false,"latitude":-2.0646},"mars":{"sidereal_longitude":155.97684200000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":78.54754200000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":243.673542,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":true},"venus":{"sidereal_longitude":128.416242,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":276.49524199999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":304.2219,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":124.2219,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2138,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502141.770833,"kali_year":5240,"ahargana":1913676.2708,"sun":{"sidereal_longitude":84.1188,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":151.5555,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":67.4367,"elapsed_within_tithi_degrees":7.4367},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":151.5555,"elapsed_within_degrees":4.8888},"yoga":{"number":18,"name":"Varīyān","sum_longitude":235.6744},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.065,"elongation":67.437},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.065,"opposition_distance":112.563}},"eclipse_window_40days":[]},"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":"05:31","sunsetLocal":"19:20","solarNoonLocal":"12:26","dayLengthHours":13.819156057991997,"dayLengthDisplay":"13 Hours 49 Mins 09 Secs","nightLengthDisplay":"10 Hours 10 Mins 51 Secs","moonriseLocal":"10:31","moonsetLocal":"22:47","rahuKala":{"name":"Rāhu Kāla","start":"17:37","end":"19:20","startHours":17.61214066918301,"endHours":19.33953517643201,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:26","end":"14:09","startHours":12.42995714743601,"endHours":14.157351654685009,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:53","end":"17:37","startHours":15.884746161934007,"endHours":17.61214066918301,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:45","end":"09:12","startHours":8.74484886530481,"endHours":9.20548740057121,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:06","end":"06:28","startHours":6.096177287523011,"endHours":6.464688115736131,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:53","startHours":11.96931861216961,"endHours":12.89059568270241,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:41","end":"04:36","startHours":3.6778249773744114,"endHours":4.599102047907211,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:22","end":"05:31","startHours":4.368782780274011,"endHours":5.520379118440011,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:44","end":"15:39","startHours":14.73314982376801,"endHours":15.654426894300808,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:08","end":"19:32","startHours":19.13953517643201,"endHours":19.539535176432008,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:20","end":"19:55","startHours":19.33953517643201,"endHours":19.91533334551501,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:05","end":"20:50","startHours":19.08953517643201,"endHours":20.83953517643201,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:53","startHours":23.96931861216961,"endHours":24.89059568270241,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:31","end":"07:15","startHours":5.520379118440011,"endHours":7.24777362568901,"quality":"inauspicious"},{"name":"Chala","start":"07:15","end":"08:59","startHours":7.24777362568901,"endHours":8.975168132938009,"quality":"neutral"},{"name":"Labha","start":"08:59","end":"10:42","startHours":8.975168132938009,"endHours":10.70256264018701,"quality":"auspicious"},{"name":"Amṛta","start":"10:42","end":"12:26","startHours":10.70256264018701,"endHours":12.42995714743601,"quality":"auspicious"},{"name":"Kāla","start":"12:26","end":"14:09","startHours":12.42995714743601,"endHours":14.157351654685009,"quality":"inauspicious"},{"name":"Śubha","start":"14:09","end":"15:53","startHours":14.157351654685009,"endHours":15.884746161934007,"quality":"auspicious"},{"name":"Roga","start":"15:53","end":"17:37","startHours":15.884746161934007,"endHours":17.61214066918301,"quality":"inauspicious"},{"name":"Udveg","start":"17:37","end":"19:20","startHours":17.61214066918301,"endHours":19.33953517643201,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"19:20","end":"20:37","startHours":19.33953517643201,"endHours":20.61214066918301,"quality":"auspicious"},{"name":"Roga","start":"20:37","end":"21:53","startHours":20.61214066918301,"endHours":21.88474616193401,"quality":"inauspicious"},{"name":"Udveg","start":"21:53","end":"23:09","startHours":21.88474616193401,"endHours":23.15735165468501,"quality":"inauspicious"},{"name":"Chala","start":"23:09","end":"00:26","startHours":23.15735165468501,"endHours":24.42995714743601,"quality":"neutral"},{"name":"Labha","start":"00:26","end":"01:42","startHours":24.42995714743601,"endHours":25.70256264018701,"quality":"auspicious"},{"name":"Amṛta","start":"01:42","end":"02:59","startHours":25.70256264018701,"endHours":26.97516813293801,"quality":"auspicious"},{"name":"Kāla","start":"02:59","end":"04:15","startHours":26.97516813293801,"endHours":28.24777362568901,"quality":"inauspicious"},{"name":"Śubha","start":"04:15","end":"05:31","startHours":28.24777362568901,"endHours":29.52037911844001,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:31","end":"06:31","startHours":5.520379118440011,"endHours":6.520379118440011,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:31","end":"07:31","startHours":6.520379118440011,"endHours":7.520379118440011,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:31","end":"08:31","startHours":7.520379118440011,"endHours":8.520379118440012,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:31","end":"09:31","startHours":8.520379118440012,"endHours":9.520379118440012,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:31","end":"10:31","startHours":9.520379118440012,"endHours":10.520379118440012,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:31","end":"11:31","startHours":10.520379118440012,"endHours":11.520379118440012,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:31","end":"12:31","startHours":11.520379118440012,"endHours":12.520379118440012,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:31","end":"13:31","startHours":12.520379118440012,"endHours":13.520379118440012,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:31","end":"14:31","startHours":13.520379118440012,"endHours":14.520379118440012,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:31","end":"15:31","startHours":14.520379118440012,"endHours":15.520379118440012,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:31","end":"16:31","startHours":15.520379118440012,"endHours":16.52037911844001,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:31","end":"17:31","startHours":16.52037911844001,"endHours":17.52037911844001,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:31","end":"18:31","startHours":17.52037911844001,"endHours":18.52037911844001,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:31","end":"19:31","startHours":18.52037911844001,"endHours":19.52037911844001,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:31","end":"20:31","startHours":19.52037911844001,"endHours":20.52037911844001,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:31","end":"21:31","startHours":20.52037911844001,"endHours":21.52037911844001,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:31","end":"22:31","startHours":21.52037911844001,"endHours":22.52037911844001,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:31","end":"23:31","startHours":22.52037911844001,"endHours":23.52037911844001,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:31","end":"00:31","startHours":23.52037911844001,"endHours":24.52037911844001,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:31","end":"01:31","startHours":24.52037911844001,"endHours":25.52037911844001,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:31","end":"02:31","startHours":25.52037911844001,"endHours":26.52037911844001,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:31","end":"03:31","startHours":26.52037911844001,"endHours":27.52037911844001,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:31","end":"04:31","startHours":27.52037911844001,"endHours":28.52037911844001,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:31","end":"05:31","startHours":28.52037911844001,"endHours":29.52037911844001,"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":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"West","rahuVasa":"North-East","anandadiYoga":{"name":"Maitra","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":21.851373003505977,"eotMinutes":-5.361428846160681,"ayanamsa":25.7881}},"calendars":{"vikram_samvat":2195,"vikram_samvatsara":"Virodhakṛt","saka_samvat":2060,"saka_samvatsara":"Vilambī","bengali_samvat":1545,"malayalam_era":1314,"nanakshahi_year":669,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Āṣāḍha","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 Śukla Ṣaṣṭhī · Vikram 2195 Virodhakṛt · Śaka 2060 Vilambī"},"festivals":[],"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 July 13, 2138 CE · Noida, Uttar Pradesh · Vidhyamitra","description":"July 13, 2138 CE for Noida, Uttar Pradesh: Śukla Ṣaṣṭhī, sūryodaya 05:31, sūryāsta 19:20.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/noida/2138-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/noida/2138-07-13","sa":"https://sa.vidhyamitra.com/city/noida/2138-07-13","hi":"https://hi.vidhyamitra.com/city/noida/2138-07-13","x-default":"https://vidhyamitra.com/city/noida/2138-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T22:19:35.102Z","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":"2026-05-31T22:19:35.102Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T22:19:35.102Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}