{"id":"vidhyamitra:day:2138-08-16:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2138-08-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2138-08-16","date_display":"August 16, 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":8,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502175.770833,"kali_year":5240,"ahargana":1913710.2708,"sun":{"sidereal_longitude":116.4182,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":235.7996,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":119.3814,"elapsed_within_tithi_degrees":11.3814},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3,"moon_longitude":235.7996,"elapsed_within_degrees":9.1329},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":352.2177},"karana":{"half_tithi_index":19,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":8,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2502175.770833,"ahargana":1913710.2708,"kali_year":5240,"ayanamsa_lahiri":25.7894,"grahas":{"sun":{"sidereal_longitude":117.36114299999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":233.70724299999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false,"latitude":-4.1299},"mars":{"sidereal_longitude":175.97124299999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":105.30514299999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":241.08124299999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":true},"venus":{"sidereal_longitude":154.58494300000007,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":274.05194300000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":302.4204,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":122.4204,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2138,"month":8,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502175.770833,"kali_year":5240,"ahargana":1913710.2708,"sun":{"sidereal_longitude":116.4182,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":235.7996,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":119.3814,"elapsed_within_tithi_degrees":11.3814},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3,"moon_longitude":235.7996,"elapsed_within_degrees":9.1329},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":352.2177},"karana":{"half_tithi_index":19,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.13,"elongation":119.381},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.13,"opposition_distance":60.619}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":2195,"vikram_samvatsara":"Virodhakṛt","saka_samvat":2060,"saka_samvatsara":"Vilambī","bengali_samvat":1545,"malayalam_era":1314,"nanakshahi_year":669,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Daśamī · Vikram 2195 Virodhakṛt · Śaka 2060 Vilambī"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi":"Karka"},"precedence":2}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Jyeṣṭhā","url":"/day/-3137-10-20","relevance":0.5}]},"validity":{"eternal":false,"valid_from":"2138-08-16T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga August 16, 2138 CE · Vidhyamitra","description":"Vedic pañchāṅga for August 16, 2138 CE: Śukla Daśamī · Jyeṣṭhā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2138-08-16","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2138-08-16","sa":"https://sa.vidhyamitra.com/day/2138-08-16","hi":"https://hi.vidhyamitra.com/day/2138-08-16","x-default":"https://vidhyamitra.com/day/2138-08-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-17T23:24:51.421Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-17T23:24:51.421Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}